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Finding the Fourth Proportional to 12,418.86, 17,138.01 and 6,829.86

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Solution

The fourth proportional to 12,418.86, 17,138.01 and 6,829.86 is: 9,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.86 : 17,138.01 = 6,829.86 : x
  2. Step 2: Convert to fraction form
    12,418.86/17,138.01 = 6,829.86/x
  3. Step 3: Cross multiply
    12,418.86x = 17,138.01 × 6,829.86
  4. Step 4: Simplify right side
    12,418.86x = 117,050,123.29
  5. Step 5: Solve for x
    x = 117,050,123.29/12,418.86
  6. Step 6: Final answer
    x = 9,425.19

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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.