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Finding the Fourth Proportional to 12,502.20, 17,256.88 and 7,200.54

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Solution

The fourth proportional to 12,502.20, 17,256.88 and 7,200.54 is: 9,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.20 : 17,256.88 = 7,200.54 : x
  2. Step 2: Convert to fraction form
    12,502.20/17,256.88 = 7,200.54/x
  3. Step 3: Cross multiply
    12,502.20x = 17,256.88 × 7,200.54
  4. Step 4: Simplify right side
    12,502.20x = 124,258,854.72
  5. Step 5: Solve for x
    x = 124,258,854.72/12,502.20
  6. Step 6: Final answer
    x = 9,938.96

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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.