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Finding the Fourth Proportional to 40,431, 55,799.64 and 23,664

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Solution

The fourth proportional to 40,431, 55,799.64 and 23,664 is: 32,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,431 : 55,799.64 = 23,664 : x
  2. Step 2: Convert to fraction form
    40,431/55,799.64 = 23,664/x
  3. Step 3: Cross multiply
    40,431x = 55,799.64 × 23,664
  4. Step 4: Simplify right side
    40,431x = 1,320,442,680.96
  5. Step 5: Solve for x
    x = 1,320,442,680.96/40,431
  6. Step 6: Final answer
    x = 32,659.16

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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.