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Finding the Fourth Proportional to 5,123.53, 7,680.43 and 2,929.24

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Solution

The fourth proportional to 5,123.53, 7,680.43 and 2,929.24 is: 4,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.53 : 7,680.43 = 2,929.24 : x
  2. Step 2: Convert to fraction form
    5,123.53/7,680.43 = 2,929.24/x
  3. Step 3: Cross multiply
    5,123.53x = 7,680.43 × 2,929.24
  4. Step 4: Simplify right side
    5,123.53x = 22,497,822.77
  5. Step 5: Solve for x
    x = 22,497,822.77/5,123.53
  6. Step 6: Final answer
    x = 4,391.08

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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.