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Finding the Fourth Proportional to 7,757.87, 10,718.39 and 5,410.49

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Solution

The fourth proportional to 7,757.87, 10,718.39 and 5,410.49 is: 7,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.87 : 10,718.39 = 5,410.49 : x
  2. Step 2: Convert to fraction form
    7,757.87/10,718.39 = 5,410.49/x
  3. Step 3: Cross multiply
    7,757.87x = 10,718.39 × 5,410.49
  4. Step 4: Simplify right side
    7,757.87x = 57,991,701.85
  5. Step 5: Solve for x
    x = 57,991,701.85/7,757.87
  6. Step 6: Final answer
    x = 7,475.21

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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.