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Finding the Fourth Proportional to 13,671.20, 20,500.80 and 6,273.20

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Solution

The fourth proportional to 13,671.20, 20,500.80 and 6,273.20 is: 9,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.20 : 20,500.80 = 6,273.20 : x
  2. Step 2: Convert to fraction form
    13,671.20/20,500.80 = 6,273.20/x
  3. Step 3: Cross multiply
    13,671.20x = 20,500.80 × 6,273.20
  4. Step 4: Simplify right side
    13,671.20x = 128,605,618.56
  5. Step 5: Solve for x
    x = 128,605,618.56/13,671.20
  6. Step 6: Final answer
    x = 9,407.05

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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.