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Finding the Fourth Proportional to 7,757.34, 11,548.26 and 7,711.20

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Solution

The fourth proportional to 7,757.34, 11,548.26 and 7,711.20 is: 11,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.34 : 11,548.26 = 7,711.20 : x
  2. Step 2: Convert to fraction form
    7,757.34/11,548.26 = 7,711.20/x
  3. Step 3: Cross multiply
    7,757.34x = 11,548.26 × 7,711.20
  4. Step 4: Simplify right side
    7,757.34x = 89,050,952.10
  5. Step 5: Solve for x
    x = 89,050,952.10/7,757.34
  6. Step 6: Final answer
    x = 11,479.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.