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Finding the Fourth Proportional to 7,471.20, 10,320 and 6,060.12

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Solution

The fourth proportional to 7,471.20, 10,320 and 6,060.12 is: 8,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.20 : 10,320 = 6,060.12 : x
  2. Step 2: Convert to fraction form
    7,471.20/10,320 = 6,060.12/x
  3. Step 3: Cross multiply
    7,471.20x = 10,320 × 6,060.12
  4. Step 4: Simplify right side
    7,471.20x = 62,540,438.40
  5. Step 5: Solve for x
    x = 62,540,438.40/7,471.20
  6. Step 6: Final answer
    x = 8,370.87

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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.