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Finding the Fourth Proportional to 7,988.56, 11,964.36 and 7,711.76

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Solution

The fourth proportional to 7,988.56, 11,964.36 and 7,711.76 is: 11,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.56 : 11,964.36 = 7,711.76 : x
  2. Step 2: Convert to fraction form
    7,988.56/11,964.36 = 7,711.76/x
  3. Step 3: Cross multiply
    7,988.56x = 11,964.36 × 7,711.76
  4. Step 4: Simplify right side
    7,988.56x = 92,266,272.87
  5. Step 5: Solve for x
    x = 92,266,272.87/7,988.56
  6. Step 6: Final answer
    x = 11,549.80

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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.