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Finding the Fourth Proportional to 12,037.20, 18,034.20 and 10,309.20

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Solution

The fourth proportional to 12,037.20, 18,034.20 and 10,309.20 is: 15,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.20 : 18,034.20 = 10,309.20 : x
  2. Step 2: Convert to fraction form
    12,037.20/18,034.20 = 10,309.20/x
  3. Step 3: Cross multiply
    12,037.20x = 18,034.20 × 10,309.20
  4. Step 4: Simplify right side
    12,037.20x = 185,918,174.64
  5. Step 5: Solve for x
    x = 185,918,174.64/12,037.20
  6. Step 6: Final answer
    x = 15,445.30

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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.