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Finding the Fourth Proportional to 7,711.70, 10,642.08 and 4,174.88

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Solution

The fourth proportional to 7,711.70, 10,642.08 and 4,174.88 is: 5,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.70 : 10,642.08 = 4,174.88 : x
  2. Step 2: Convert to fraction form
    7,711.70/10,642.08 = 4,174.88/x
  3. Step 3: Cross multiply
    7,711.70x = 10,642.08 × 4,174.88
  4. Step 4: Simplify right side
    7,711.70x = 44,429,406.95
  5. Step 5: Solve for x
    x = 44,429,406.95/7,711.70
  6. Step 6: Final answer
    x = 5,761.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.