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Finding the Fourth Proportional to 8,159.52, 12,239.52 and 5,403.84

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Solution

The fourth proportional to 8,159.52, 12,239.52 and 5,403.84 is: 8,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.52 : 12,239.52 = 5,403.84 : x
  2. Step 2: Convert to fraction form
    8,159.52/12,239.52 = 5,403.84/x
  3. Step 3: Cross multiply
    8,159.52x = 12,239.52 × 5,403.84
  4. Step 4: Simplify right side
    8,159.52x = 66,140,407.76
  5. Step 5: Solve for x
    x = 66,140,407.76/8,159.52
  6. Step 6: Final answer
    x = 8,105.92

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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.