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Finding the Fourth Proportional to 18,681.68, 25,780.56 and 10,298

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Solution

The fourth proportional to 18,681.68, 25,780.56 and 10,298 is: 14,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.68 : 25,780.56 = 10,298 : x
  2. Step 2: Convert to fraction form
    18,681.68/25,780.56 = 10,298/x
  3. Step 3: Cross multiply
    18,681.68x = 25,780.56 × 10,298
  4. Step 4: Simplify right side
    18,681.68x = 265,488,206.88
  5. Step 5: Solve for x
    x = 265,488,206.88/18,681.68
  6. Step 6: Final answer
    x = 14,211.15

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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.