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Finding the Fourth Proportional to 2,153.03, 3,229.56 and 919.67

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Solution

The fourth proportional to 2,153.03, 3,229.56 and 919.67 is: 1,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.03 : 3,229.56 = 919.67 : x
  2. Step 2: Convert to fraction form
    2,153.03/3,229.56 = 919.67/x
  3. Step 3: Cross multiply
    2,153.03x = 3,229.56 × 919.67
  4. Step 4: Simplify right side
    2,153.03x = 2,970,113.30
  5. Step 5: Solve for x
    x = 2,970,113.30/2,153.03
  6. Step 6: Final answer
    x = 1,379.51

Related Problems

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Double scale
Find fourth proportional to 2,154.03, 3,231.06 and 920.67
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.