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Finding the Fourth Proportional to 9,115.81, 13,655.86 and 8,124.03

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Solution

The fourth proportional to 9,115.81, 13,655.86 and 8,124.03 is: 12,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.81 : 13,655.86 = 8,124.03 : x
  2. Step 2: Convert to fraction form
    9,115.81/13,655.86 = 8,124.03/x
  3. Step 3: Cross multiply
    9,115.81x = 13,655.86 × 8,124.03
  4. Step 4: Simplify right side
    9,115.81x = 110,940,596.01
  5. Step 5: Solve for x
    x = 110,940,596.01/9,115.81
  6. Step 6: Final answer
    x = 12,170.13

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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.