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Finding the Fourth Proportional to 12,868, 17,758.32 and 7,278.88

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Solution

The fourth proportional to 12,868, 17,758.32 and 7,278.88 is: 10,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868 : 17,758.32 = 7,278.88 : x
  2. Step 2: Convert to fraction form
    12,868/17,758.32 = 7,278.88/x
  3. Step 3: Cross multiply
    12,868x = 17,758.32 × 7,278.88
  4. Step 4: Simplify right side
    12,868x = 129,260,680.28
  5. Step 5: Solve for x
    x = 129,260,680.28/12,868
  6. Step 6: Final answer
    x = 10,045.13

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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.