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Finding the Fourth Proportional to 2,564.30, 3,846.45 and 920.90

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Solution

The fourth proportional to 2,564.30, 3,846.45 and 920.90 is: 1,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.30 : 3,846.45 = 920.90 : x
  2. Step 2: Convert to fraction form
    2,564.30/3,846.45 = 920.90/x
  3. Step 3: Cross multiply
    2,564.30x = 3,846.45 × 920.90
  4. Step 4: Simplify right side
    2,564.30x = 3,542,195.81
  5. Step 5: Solve for x
    x = 3,542,195.81/2,564.30
  6. Step 6: Final answer
    x = 1,381.35

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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.