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Finding the Fourth Proportional to 29,141, 40,214.60 and 15,893

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Solution

The fourth proportional to 29,141, 40,214.60 and 15,893 is: 21,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141 : 40,214.60 = 15,893 : x
  2. Step 2: Convert to fraction form
    29,141/40,214.60 = 15,893/x
  3. Step 3: Cross multiply
    29,141x = 40,214.60 × 15,893
  4. Step 4: Simplify right side
    29,141x = 639,130,637.80
  5. Step 5: Solve for x
    x = 639,130,637.80/29,141
  6. Step 6: Final answer
    x = 21,932.35

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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.