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Finding the Fourth Proportional to 8,765, 13,147.32 and 2,191.16

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Solution

The fourth proportional to 8,765, 13,147.32 and 2,191.16 is: 3,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765 : 13,147.32 = 2,191.16 : x
  2. Step 2: Convert to fraction form
    8,765/13,147.32 = 2,191.16/x
  3. Step 3: Cross multiply
    8,765x = 13,147.32 × 2,191.16
  4. Step 4: Simplify right side
    8,765x = 28,807,881.69
  5. Step 5: Solve for x
    x = 28,807,881.69/8,765
  6. Step 6: Final answer
    x = 3,286.70

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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.