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Finding the Fourth Proportional to 12,917.70, 17,823.66 and 8,448

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Solution

The fourth proportional to 12,917.70, 17,823.66 and 8,448 is: 11,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.70 : 17,823.66 = 8,448 : x
  2. Step 2: Convert to fraction form
    12,917.70/17,823.66 = 8,448/x
  3. Step 3: Cross multiply
    12,917.70x = 17,823.66 × 8,448
  4. Step 4: Simplify right side
    12,917.70x = 150,574,279.68
  5. Step 5: Solve for x
    x = 150,574,279.68/12,917.70
  6. Step 6: Final answer
    x = 11,656.43

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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.