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Finding the Fourth Proportional to 9,115.71, 13,666.71 and 3,856.87

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Solution

The fourth proportional to 9,115.71, 13,666.71 and 3,856.87 is: 5,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.71 : 13,666.71 = 3,856.87 : x
  2. Step 2: Convert to fraction form
    9,115.71/13,666.71 = 3,856.87/x
  3. Step 3: Cross multiply
    9,115.71x = 13,666.71 × 3,856.87
  4. Step 4: Simplify right side
    9,115.71x = 52,710,726.42
  5. Step 5: Solve for x
    x = 52,710,726.42/9,115.71
  6. Step 6: Final answer
    x = 5,782.41

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1.5x scale

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.