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Finding the Fourth Proportional to 29,142, 40,215.98 and 15,894

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Solution

The fourth proportional to 29,142, 40,215.98 and 15,894 is: 21,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142 : 40,215.98 = 15,894 : x
  2. Step 2: Convert to fraction form
    29,142/40,215.98 = 15,894/x
  3. Step 3: Cross multiply
    29,142x = 40,215.98 × 15,894
  4. Step 4: Simplify right side
    29,142x = 639,192,786.12
  5. Step 5: Solve for x
    x = 639,192,786.12/29,142
  6. Step 6: Final answer
    x = 21,933.73

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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.