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Finding the Fourth Proportional to 25,387.24, 38,084.98 and 7,853

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Solution

The fourth proportional to 25,387.24, 38,084.98 and 7,853 is: 11,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,387.24 : 38,084.98 = 7,853 : x
  2. Step 2: Convert to fraction form
    25,387.24/38,084.98 = 7,853/x
  3. Step 3: Cross multiply
    25,387.24x = 38,084.98 × 7,853
  4. Step 4: Simplify right side
    25,387.24x = 299,081,347.94
  5. Step 5: Solve for x
    x = 299,081,347.94/25,387.24
  6. Step 6: Final answer
    x = 11,780.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.