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Finding the Fourth Proportional to 9,140.80, 13,706.01 and 3,591.11

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Solution

The fourth proportional to 9,140.80, 13,706.01 and 3,591.11 is: 5,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.80 : 13,706.01 = 3,591.11 : x
  2. Step 2: Convert to fraction form
    9,140.80/13,706.01 = 3,591.11/x
  3. Step 3: Cross multiply
    9,140.80x = 13,706.01 × 3,591.11
  4. Step 4: Simplify right side
    9,140.80x = 49,219,789.57
  5. Step 5: Solve for x
    x = 49,219,789.57/9,140.80
  6. Step 6: Final answer
    x = 5,384.63

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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.