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Finding the Fourth Proportional to 27,228, 40,829.42 and 8,502.42

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Solution

The fourth proportional to 27,228, 40,829.42 and 8,502.42 is: 12,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 40,829.42 = 8,502.42 : x
  2. Step 2: Convert to fraction form
    27,228/40,829.42 = 8,502.42/x
  3. Step 3: Cross multiply
    27,228x = 40,829.42 × 8,502.42
  4. Step 4: Simplify right side
    27,228x = 347,148,877.20
  5. Step 5: Solve for x
    x = 347,148,877.20/27,228
  6. Step 6: Final answer
    x = 12,749.70

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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.