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Finding the Fourth Proportional to 12,454.86, 17,187.71 and 6,865.86

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Solution

The fourth proportional to 12,454.86, 17,187.71 and 6,865.86 is: 9,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.86 : 17,187.71 = 6,865.86 : x
  2. Step 2: Convert to fraction form
    12,454.86/17,187.71 = 6,865.86/x
  3. Step 3: Cross multiply
    12,454.86x = 17,187.71 × 6,865.86
  4. Step 4: Simplify right side
    12,454.86x = 118,008,376.25
  5. Step 5: Solve for x
    x = 118,008,376.25/12,454.86
  6. Step 6: Final answer
    x = 9,474.89

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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.