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Finding the Fourth Proportional to 12,454.56, 17,191.44 and 8,262

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Solution

The fourth proportional to 12,454.56, 17,191.44 and 8,262 is: 11,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.56 : 17,191.44 = 8,262 : x
  2. Step 2: Convert to fraction form
    12,454.56/17,191.44 = 8,262/x
  3. Step 3: Cross multiply
    12,454.56x = 17,191.44 × 8,262
  4. Step 4: Simplify right side
    12,454.56x = 142,035,677.28
  5. Step 5: Solve for x
    x = 142,035,677.28/12,454.56
  6. Step 6: Final answer
    x = 11,404.31

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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.