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Finding the Fourth Proportional to 18,784, 28,177.92 and 6,472

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Solution

The fourth proportional to 18,784, 28,177.92 and 6,472 is: 9,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784 : 28,177.92 = 6,472 : x
  2. Step 2: Convert to fraction form
    18,784/28,177.92 = 6,472/x
  3. Step 3: Cross multiply
    18,784x = 28,177.92 × 6,472
  4. Step 4: Simplify right side
    18,784x = 182,367,498.24
  5. Step 5: Solve for x
    x = 182,367,498.24/18,784
  6. Step 6: Final answer
    x = 9,708.66

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