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Finding the Fourth Proportional to 12,805, 17,675.76 and 8,615.68

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Solution

The fourth proportional to 12,805, 17,675.76 and 8,615.68 is: 11,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805 : 17,675.76 = 8,615.68 : x
  2. Step 2: Convert to fraction form
    12,805/17,675.76 = 8,615.68/x
  3. Step 3: Cross multiply
    12,805x = 17,675.76 × 8,615.68
  4. Step 4: Simplify right side
    12,805x = 152,288,691.92
  5. Step 5: Solve for x
    x = 152,288,691.92/12,805
  6. Step 6: Final answer
    x = 11,892.91

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1.5x scale

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.