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Finding the Fourth Proportional to 8,655.98, 12,974.98 and 4,207.06

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Solution

The fourth proportional to 8,655.98, 12,974.98 and 4,207.06 is: 6,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.98 : 12,974.98 = 4,207.06 : x
  2. Step 2: Convert to fraction form
    8,655.98/12,974.98 = 4,207.06/x
  3. Step 3: Cross multiply
    8,655.98x = 12,974.98 × 4,207.06
  4. Step 4: Simplify right side
    8,655.98x = 54,586,519.36
  5. Step 5: Solve for x
    x = 54,586,519.36/8,655.98
  6. Step 6: Final answer
    x = 6,306.22

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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.