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Finding the Fourth Proportional to 6,755.76, 10,082.40 and 6,580.80

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Solution

The fourth proportional to 6,755.76, 10,082.40 and 6,580.80 is: 9,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.76 : 10,082.40 = 6,580.80 : x
  2. Step 2: Convert to fraction form
    6,755.76/10,082.40 = 6,580.80/x
  3. Step 3: Cross multiply
    6,755.76x = 10,082.40 × 6,580.80
  4. Step 4: Simplify right side
    6,755.76x = 66,350,257.92
  5. Step 5: Solve for x
    x = 66,350,257.92/6,755.76
  6. Step 6: Final answer
    x = 9,821.29

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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.