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Finding the Fourth Proportional to 7,862.76, 11,792.80 and 7,429

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Solution

The fourth proportional to 7,862.76, 11,792.80 and 7,429 is: 11,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.76 : 11,792.80 = 7,429 : x
  2. Step 2: Convert to fraction form
    7,862.76/11,792.80 = 7,429/x
  3. Step 3: Cross multiply
    7,862.76x = 11,792.80 × 7,429
  4. Step 4: Simplify right side
    7,862.76x = 87,608,711.20
  5. Step 5: Solve for x
    x = 87,608,711.20/7,862.76
  6. Step 6: Final answer
    x = 11,142.23

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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.