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Finding the Fourth Proportional to 11,865.87, 17,790.02 and 7,184.78

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Solution

The fourth proportional to 11,865.87, 17,790.02 and 7,184.78 is: 10,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.87 : 17,790.02 = 7,184.78 : x
  2. Step 2: Convert to fraction form
    11,865.87/17,790.02 = 7,184.78/x
  3. Step 3: Cross multiply
    11,865.87x = 17,790.02 × 7,184.78
  4. Step 4: Simplify right side
    11,865.87x = 127,817,397.86
  5. Step 5: Solve for x
    x = 127,817,397.86/11,865.87
  6. Step 6: Final answer
    x = 10,771.85

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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.