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Finding the Fourth Proportional to 38,042, 52,498.14 and 21,275

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Solution

The fourth proportional to 38,042, 52,498.14 and 21,275 is: 29,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 52,498.14 = 21,275 : x
  2. Step 2: Convert to fraction form
    38,042/52,498.14 = 21,275/x
  3. Step 3: Cross multiply
    38,042x = 52,498.14 × 21,275
  4. Step 4: Simplify right side
    38,042x = 1,116,897,928.50
  5. Step 5: Solve for x
    x = 1,116,897,928.50/38,042
  6. Step 6: Final answer
    x = 29,359.60

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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.