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Finding the Fourth Proportional to 7,658.10, 10,568.28 and 7,393.20

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Solution

The fourth proportional to 7,658.10, 10,568.28 and 7,393.20 is: 10,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.10 : 10,568.28 = 7,393.20 : x
  2. Step 2: Convert to fraction form
    7,658.10/10,568.28 = 7,393.20/x
  3. Step 3: Cross multiply
    7,658.10x = 10,568.28 × 7,393.20
  4. Step 4: Simplify right side
    7,658.10x = 78,133,407.70
  5. Step 5: Solve for x
    x = 78,133,407.70/7,658.10
  6. Step 6: Final answer
    x = 10,202.71

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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.