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Finding the Fourth Proportional to 15,177.20, 20,943 and 8,462.20

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Solution

The fourth proportional to 15,177.20, 20,943 and 8,462.20 is: 11,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.20 : 20,943 = 8,462.20 : x
  2. Step 2: Convert to fraction form
    15,177.20/20,943 = 8,462.20/x
  3. Step 3: Cross multiply
    15,177.20x = 20,943 × 8,462.20
  4. Step 4: Simplify right side
    15,177.20x = 177,223,854.60
  5. Step 5: Solve for x
    x = 177,223,854.60/15,177.20
  6. Step 6: Final answer
    x = 11,676.98

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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.