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Finding the Fourth Proportional to 30,377.84, 45,565.20 and 10,654.88

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Solution

The fourth proportional to 30,377.84, 45,565.20 and 10,654.88 is: 15,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.84 : 45,565.20 = 10,654.88 : x
  2. Step 2: Convert to fraction form
    30,377.84/45,565.20 = 10,654.88/x
  3. Step 3: Cross multiply
    30,377.84x = 45,565.20 × 10,654.88
  4. Step 4: Simplify right side
    30,377.84x = 485,491,510.35
  5. Step 5: Solve for x
    x = 485,491,510.35/30,377.84
  6. Step 6: Final answer
    x = 15,981.77

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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.