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Finding the Fourth Proportional to 9,324.88, 12,870.20 and 5,348.68

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Solution

The fourth proportional to 9,324.88, 12,870.20 and 5,348.68 is: 7,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.88 : 12,870.20 = 5,348.68 : x
  2. Step 2: Convert to fraction form
    9,324.88/12,870.20 = 5,348.68/x
  3. Step 3: Cross multiply
    9,324.88x = 12,870.20 × 5,348.68
  4. Step 4: Simplify right side
    9,324.88x = 68,838,581.34
  5. Step 5: Solve for x
    x = 68,838,581.34/9,324.88
  6. Step 6: Final answer
    x = 7,382.25

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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.