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Finding the Fourth Proportional to 7,807.24, 10,761.54 and 7,163.72

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Solution

The fourth proportional to 7,807.24, 10,761.54 and 7,163.72 is: 9,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.24 : 10,761.54 = 7,163.72 : x
  2. Step 2: Convert to fraction form
    7,807.24/10,761.54 = 7,163.72/x
  3. Step 3: Cross multiply
    7,807.24x = 10,761.54 × 7,163.72
  4. Step 4: Simplify right side
    7,807.24x = 77,092,659.33
  5. Step 5: Solve for x
    x = 77,092,659.33/7,807.24
  6. Step 6: Final answer
    x = 9,874.51

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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.