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Finding the Fourth Proportional to 12,866, 17,756.16 and 8,148.56

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Solution

The fourth proportional to 12,866, 17,756.16 and 8,148.56 is: 11,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866 : 17,756.16 = 8,148.56 : x
  2. Step 2: Convert to fraction form
    12,866/17,756.16 = 8,148.56/x
  3. Step 3: Cross multiply
    12,866x = 17,756.16 × 8,148.56
  4. Step 4: Simplify right side
    12,866x = 144,687,135.13
  5. Step 5: Solve for x
    x = 144,687,135.13/12,866
  6. Step 6: Final answer
    x = 11,245.70

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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.