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Finding the Fourth Proportional to 12,866, 17,742.90 and 8,393.18

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Solution

The fourth proportional to 12,866, 17,742.90 and 8,393.18 is: 11,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866 : 17,742.90 = 8,393.18 : x
  2. Step 2: Convert to fraction form
    12,866/17,742.90 = 8,393.18/x
  3. Step 3: Cross multiply
    12,866x = 17,742.90 × 8,393.18
  4. Step 4: Simplify right side
    12,866x = 148,919,353.42
  5. Step 5: Solve for x
    x = 148,919,353.42/12,866
  6. Step 6: Final answer
    x = 11,574.64

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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.