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Finding the Fourth Proportional to 16,780.92, 25,169.74 and 5,686.30

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Solution

The fourth proportional to 16,780.92, 25,169.74 and 5,686.30 is: 8,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.92 : 25,169.74 = 5,686.30 : x
  2. Step 2: Convert to fraction form
    16,780.92/25,169.74 = 5,686.30/x
  3. Step 3: Cross multiply
    16,780.92x = 25,169.74 × 5,686.30
  4. Step 4: Simplify right side
    16,780.92x = 143,122,709.81
  5. Step 5: Solve for x
    x = 143,122,709.81/16,780.92
  6. Step 6: Final answer
    x = 8,528.89

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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.