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Finding the Fourth Proportional to 12,777.71, 19,169.75 and 12,565.82

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Solution

The fourth proportional to 12,777.71, 19,169.75 and 12,565.82 is: 18,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.71 : 19,169.75 = 12,565.82 : x
  2. Step 2: Convert to fraction form
    12,777.71/19,169.75 = 12,565.82/x
  3. Step 3: Cross multiply
    12,777.71x = 19,169.75 × 12,565.82
  4. Step 4: Simplify right side
    12,777.71x = 240,883,581.78
  5. Step 5: Solve for x
    x = 240,883,581.78/12,777.71
  6. Step 6: Final answer
    x = 18,851.86

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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.