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Finding the Fourth Proportional to 7,740.75, 10,678.60 and 4,755.50

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Solution

The fourth proportional to 7,740.75, 10,678.60 and 4,755.50 is: 6,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.75 : 10,678.60 = 4,755.50 : x
  2. Step 2: Convert to fraction form
    7,740.75/10,678.60 = 4,755.50/x
  3. Step 3: Cross multiply
    7,740.75x = 10,678.60 × 4,755.50
  4. Step 4: Simplify right side
    7,740.75x = 50,782,082.30
  5. Step 5: Solve for x
    x = 50,782,082.30/7,740.75
  6. Step 6: Final answer
    x = 6,560.36

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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.