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Finding the Fourth Proportional to 10,224.80, 15,340.80 and 5,027.20

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Solution

The fourth proportional to 10,224.80, 15,340.80 and 5,027.20 is: 7,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.80 : 15,340.80 = 5,027.20 : x
  2. Step 2: Convert to fraction form
    10,224.80/15,340.80 = 5,027.20/x
  3. Step 3: Cross multiply
    10,224.80x = 15,340.80 × 5,027.20
  4. Step 4: Simplify right side
    10,224.80x = 77,121,269.76
  5. Step 5: Solve for x
    x = 77,121,269.76/10,224.80
  6. Step 6: Final answer
    x = 7,542.57

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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.