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Finding the Fourth Proportional to 19,853.70, 27,398.40 and 10,902

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Solution

The fourth proportional to 19,853.70, 27,398.40 and 10,902 is: 15,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.70 : 27,398.40 = 10,902 : x
  2. Step 2: Convert to fraction form
    19,853.70/27,398.40 = 10,902/x
  3. Step 3: Cross multiply
    19,853.70x = 27,398.40 × 10,902
  4. Step 4: Simplify right side
    19,853.70x = 298,697,356.80
  5. Step 5: Solve for x
    x = 298,697,356.80/19,853.70
  6. Step 6: Final answer
    x = 15,044.92

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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.