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Finding the Fourth Proportional to 40,320, 55,641.60 and 22,656

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Solution

The fourth proportional to 40,320, 55,641.60 and 22,656 is: 31,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 55,641.60 = 22,656 : x
  2. Step 2: Convert to fraction form
    40,320/55,641.60 = 22,656/x
  3. Step 3: Cross multiply
    40,320x = 55,641.60 × 22,656
  4. Step 4: Simplify right side
    40,320x = 1,260,616,089.60
  5. Step 5: Solve for x
    x = 1,260,616,089.60/40,320
  6. Step 6: Final answer
    x = 31,265.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.