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Finding the Fourth Proportional to 23,468, 32,385.12 and 12,857.36

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Solution

The fourth proportional to 23,468, 32,385.12 and 12,857.36 is: 17,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468 : 32,385.12 = 12,857.36 : x
  2. Step 2: Convert to fraction form
    23,468/32,385.12 = 12,857.36/x
  3. Step 3: Cross multiply
    23,468x = 32,385.12 × 12,857.36
  4. Step 4: Simplify right side
    23,468x = 416,387,146.48
  5. Step 5: Solve for x
    x = 416,387,146.48/23,468
  6. Step 6: Final answer
    x = 17,742.76

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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.