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Finding the Fourth Proportional to 15,182, 20,951.68 and 8,894.80

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Solution

The fourth proportional to 15,182, 20,951.68 and 8,894.80 is: 12,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182 : 20,951.68 = 8,894.80 : x
  2. Step 2: Convert to fraction form
    15,182/20,951.68 = 8,894.80/x
  3. Step 3: Cross multiply
    15,182x = 20,951.68 × 8,894.80
  4. Step 4: Simplify right side
    15,182x = 186,361,003.26
  5. Step 5: Solve for x
    x = 186,361,003.26/15,182
  6. Step 6: Final answer
    x = 12,275.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.