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Finding the Fourth Proportional to 11,877.59, 17,857.40 and 11,565.95

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Solution

The fourth proportional to 11,877.59, 17,857.40 and 11,565.95 is: 17,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.59 : 17,857.40 = 11,565.95 : x
  2. Step 2: Convert to fraction form
    11,877.59/17,857.40 = 11,565.95/x
  3. Step 3: Cross multiply
    11,877.59x = 17,857.40 × 11,565.95
  4. Step 4: Simplify right side
    11,877.59x = 206,537,648.41
  5. Step 5: Solve for x
    x = 206,537,648.41/11,877.59
  6. Step 6: Final answer
    x = 17,388.85

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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.