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Finding the Fourth Proportional to 8,715, 13,065.15 and 3,780.93

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Solution

The fourth proportional to 8,715, 13,065.15 and 3,780.93 is: 5,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715 : 13,065.15 = 3,780.93 : x
  2. Step 2: Convert to fraction form
    8,715/13,065.15 = 3,780.93/x
  3. Step 3: Cross multiply
    8,715x = 13,065.15 × 3,780.93
  4. Step 4: Simplify right side
    8,715x = 49,398,417.59
  5. Step 5: Solve for x
    x = 49,398,417.59/8,715
  6. Step 6: Final answer
    x = 5,668.21

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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.