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Finding the Fourth Proportional to 7,082.60, 9,754.20 and 6,929.60

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Solution

The fourth proportional to 7,082.60, 9,754.20 and 6,929.60 is: 9,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.60 : 9,754.20 = 6,929.60 : x
  2. Step 2: Convert to fraction form
    7,082.60/9,754.20 = 6,929.60/x
  3. Step 3: Cross multiply
    7,082.60x = 9,754.20 × 6,929.60
  4. Step 4: Simplify right side
    7,082.60x = 67,592,704.32
  5. Step 5: Solve for x
    x = 67,592,704.32/7,082.60
  6. Step 6: Final answer
    x = 9,543.49

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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.