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Finding the Fourth Proportional to 25,659.84, 38,493 and 8,123.40

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Solution

The fourth proportional to 25,659.84, 38,493 and 8,123.40 is: 12,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659.84 : 38,493 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    25,659.84/38,493 = 8,123.40/x
  3. Step 3: Cross multiply
    25,659.84x = 38,493 × 8,123.40
  4. Step 4: Simplify right side
    25,659.84x = 312,694,036.20
  5. Step 5: Solve for x
    x = 312,694,036.20/25,659.84
  6. Step 6: Final answer
    x = 12,186.13

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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.