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Finding the Fourth Proportional to 40,320, 60,505.92 and 15,696

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Solution

The fourth proportional to 40,320, 60,505.92 and 15,696 is: 23,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 60,505.92 = 15,696 : x
  2. Step 2: Convert to fraction form
    40,320/60,505.92 = 15,696/x
  3. Step 3: Cross multiply
    40,320x = 60,505.92 × 15,696
  4. Step 4: Simplify right side
    40,320x = 949,700,920.32
  5. Step 5: Solve for x
    x = 949,700,920.32/40,320
  6. Step 6: Final answer
    x = 23,554.09

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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.