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Finding the Fourth Proportional to 7,250.76, 9,931.06 and 6,825.20

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Solution

The fourth proportional to 7,250.76, 9,931.06 and 6,825.20 is: 9,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.76 : 9,931.06 = 6,825.20 : x
  2. Step 2: Convert to fraction form
    7,250.76/9,931.06 = 6,825.20/x
  3. Step 3: Cross multiply
    7,250.76x = 9,931.06 × 6,825.20
  4. Step 4: Simplify right side
    7,250.76x = 67,781,470.71
  5. Step 5: Solve for x
    x = 67,781,470.71/7,250.76
  6. Step 6: Final answer
    x = 9,348.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.