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Finding the Fourth Proportional to 8,614, 12,921.12 and 2,458

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Solution

The fourth proportional to 8,614, 12,921.12 and 2,458 is: 3,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614 : 12,921.12 = 2,458 : x
  2. Step 2: Convert to fraction form
    8,614/12,921.12 = 2,458/x
  3. Step 3: Cross multiply
    8,614x = 12,921.12 × 2,458
  4. Step 4: Simplify right side
    8,614x = 31,760,112.96
  5. Step 5: Solve for x
    x = 31,760,112.96/8,614
  6. Step 6: Final answer
    x = 3,687.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.