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Finding the Fourth Proportional to 15,201.72, 20,978.46 and 8,914.20

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Solution

The fourth proportional to 15,201.72, 20,978.46 and 8,914.20 is: 12,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.72 : 20,978.46 = 8,914.20 : x
  2. Step 2: Convert to fraction form
    15,201.72/20,978.46 = 8,914.20/x
  3. Step 3: Cross multiply
    15,201.72x = 20,978.46 × 8,914.20
  4. Step 4: Simplify right side
    15,201.72x = 187,006,188.13
  5. Step 5: Solve for x
    x = 187,006,188.13/15,201.72
  6. Step 6: Final answer
    x = 12,301.65

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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.