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Finding the Fourth Proportional to 8,159.20, 12,238.80 and 2,003.20

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Solution

The fourth proportional to 8,159.20, 12,238.80 and 2,003.20 is: 3,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.20 : 12,238.80 = 2,003.20 : x
  2. Step 2: Convert to fraction form
    8,159.20/12,238.80 = 2,003.20/x
  3. Step 3: Cross multiply
    8,159.20x = 12,238.80 × 2,003.20
  4. Step 4: Simplify right side
    8,159.20x = 24,516,764.16
  5. Step 5: Solve for x
    x = 24,516,764.16/8,159.20
  6. Step 6: Final answer
    x = 3,004.80

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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.