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Finding the Fourth Proportional to 10,546.80, 15,820.04 and 3,151.20

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Solution

The fourth proportional to 10,546.80, 15,820.04 and 3,151.20 is: 4,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.80 : 15,820.04 = 3,151.20 : x
  2. Step 2: Convert to fraction form
    10,546.80/15,820.04 = 3,151.20/x
  3. Step 3: Cross multiply
    10,546.80x = 15,820.04 × 3,151.20
  4. Step 4: Simplify right side
    10,546.80x = 49,852,110.05
  5. Step 5: Solve for x
    x = 49,852,110.05/10,546.80
  6. Step 6: Final answer
    x = 4,726.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.