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Finding the Fourth Proportional to 7,660.80, 10,560.96 and 5,138.40

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Solution

The fourth proportional to 7,660.80, 10,560.96 and 5,138.40 is: 7,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.80 : 10,560.96 = 5,138.40 : x
  2. Step 2: Convert to fraction form
    7,660.80/10,560.96 = 5,138.40/x
  3. Step 3: Cross multiply
    7,660.80x = 10,560.96 × 5,138.40
  4. Step 4: Simplify right side
    7,660.80x = 54,266,436.86
  5. Step 5: Solve for x
    x = 54,266,436.86/7,660.80
  6. Step 6: Final answer
    x = 7,083.65

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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.