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Finding the Fourth Proportional to 7,350, 10,142.92 and 3,992.82

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Solution

The fourth proportional to 7,350, 10,142.92 and 3,992.82 is: 5,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 10,142.92 = 3,992.82 : x
  2. Step 2: Convert to fraction form
    7,350/10,142.92 = 3,992.82/x
  3. Step 3: Cross multiply
    7,350x = 10,142.92 × 3,992.82
  4. Step 4: Simplify right side
    7,350x = 40,498,853.83
  5. Step 5: Solve for x
    x = 40,498,853.83/7,350
  6. Step 6: Final answer
    x = 5,510.05

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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.