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Finding the Fourth Proportional to 9,177.84, 13,743.72 and 7,240.56

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Solution

The fourth proportional to 9,177.84, 13,743.72 and 7,240.56 is: 10,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.84 : 13,743.72 = 7,240.56 : x
  2. Step 2: Convert to fraction form
    9,177.84/13,743.72 = 7,240.56/x
  3. Step 3: Cross multiply
    9,177.84x = 13,743.72 × 7,240.56
  4. Step 4: Simplify right side
    9,177.84x = 99,512,229.28
  5. Step 5: Solve for x
    x = 99,512,229.28/9,177.84
  6. Step 6: Final answer
    x = 10,842.66

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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.