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Finding the Fourth Proportional to 7,757.68, 10,635.80 and 7,617.28

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Solution

The fourth proportional to 7,757.68, 10,635.80 and 7,617.28 is: 10,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.68 : 10,635.80 = 7,617.28 : x
  2. Step 2: Convert to fraction form
    7,757.68/10,635.80 = 7,617.28/x
  3. Step 3: Cross multiply
    7,757.68x = 10,635.80 × 7,617.28
  4. Step 4: Simplify right side
    7,757.68x = 81,015,866.62
  5. Step 5: Solve for x
    x = 81,015,866.62/7,757.68
  6. Step 6: Final answer
    x = 10,443.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.