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Finding the Fourth Proportional to 2,153.81, 3,230.91 and 920.94

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Solution

The fourth proportional to 2,153.81, 3,230.91 and 920.94 is: 1,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.81 : 3,230.91 = 920.94 : x
  2. Step 2: Convert to fraction form
    2,153.81/3,230.91 = 920.94/x
  3. Step 3: Cross multiply
    2,153.81x = 3,230.91 × 920.94
  4. Step 4: Simplify right side
    2,153.81x = 2,975,474.26
  5. Step 5: Solve for x
    x = 2,975,474.26/2,153.81
  6. Step 6: Final answer
    x = 1,381.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,154.81, 3,232.41 and 921.94
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.