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Finding the Fourth Proportional to 8,474.98, 12,721.92 and 4,969.12

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Solution

The fourth proportional to 8,474.98, 12,721.92 and 4,969.12 is: 7,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.98 : 12,721.92 = 4,969.12 : x
  2. Step 2: Convert to fraction form
    8,474.98/12,721.92 = 4,969.12/x
  3. Step 3: Cross multiply
    8,474.98x = 12,721.92 × 4,969.12
  4. Step 4: Simplify right side
    8,474.98x = 63,216,747.11
  5. Step 5: Solve for x
    x = 63,216,747.11/8,474.98
  6. Step 6: Final answer
    x = 7,459.22

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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.