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Finding the Fourth Proportional to 27,498, 37,956.60 and 18,539.76

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Solution

The fourth proportional to 27,498, 37,956.60 and 18,539.76 is: 25,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498 : 37,956.60 = 18,539.76 : x
  2. Step 2: Convert to fraction form
    27,498/37,956.60 = 18,539.76/x
  3. Step 3: Cross multiply
    27,498x = 37,956.60 × 18,539.76
  4. Step 4: Simplify right side
    27,498x = 703,706,254.42
  5. Step 5: Solve for x
    x = 703,706,254.42/27,498
  6. Step 6: Final answer
    x = 25,591.18

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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.