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Finding the Fourth Proportional to 38,462.40, 57,695.40 and 12,169.20

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Solution

The fourth proportional to 38,462.40, 57,695.40 and 12,169.20 is: 18,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.40 : 57,695.40 = 12,169.20 : x
  2. Step 2: Convert to fraction form
    38,462.40/57,695.40 = 12,169.20/x
  3. Step 3: Cross multiply
    38,462.40x = 57,695.40 × 12,169.20
  4. Step 4: Simplify right side
    38,462.40x = 702,106,861.68
  5. Step 5: Solve for x
    x = 702,106,861.68/38,462.40
  6. Step 6: Final answer
    x = 18,254.37

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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.