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Finding the Fourth Proportional to 12,565.60, 18,857.76 and 4,789.60

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Solution

The fourth proportional to 12,565.60, 18,857.76 and 4,789.60 is: 7,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.60 : 18,857.76 = 4,789.60 : x
  2. Step 2: Convert to fraction form
    12,565.60/18,857.76 = 4,789.60/x
  3. Step 3: Cross multiply
    12,565.60x = 18,857.76 × 4,789.60
  4. Step 4: Simplify right side
    12,565.60x = 90,321,127.30
  5. Step 5: Solve for x
    x = 90,321,127.30/12,565.60
  6. Step 6: Final answer
    x = 7,187.97

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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.