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Finding the Fourth Proportional to 15,850, 21,873 and 10,261

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Solution

The fourth proportional to 15,850, 21,873 and 10,261 is: 14,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850 : 21,873 = 10,261 : x
  2. Step 2: Convert to fraction form
    15,850/21,873 = 10,261/x
  3. Step 3: Cross multiply
    15,850x = 21,873 × 10,261
  4. Step 4: Simplify right side
    15,850x = 224,438,853
  5. Step 5: Solve for x
    x = 224,438,853/15,850
  6. Step 6: Final answer
    x = 14,160.18

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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.