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Finding the Fourth Proportional to 5,965.98, 8,949.17 and 2,218.74

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Solution

The fourth proportional to 5,965.98, 8,949.17 and 2,218.74 is: 3,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.98 : 8,949.17 = 2,218.74 : x
  2. Step 2: Convert to fraction form
    5,965.98/8,949.17 = 2,218.74/x
  3. Step 3: Cross multiply
    5,965.98x = 8,949.17 × 2,218.74
  4. Step 4: Simplify right side
    5,965.98x = 19,855,881.45
  5. Step 5: Solve for x
    x = 19,855,881.45/5,965.98
  6. Step 6: Final answer
    x = 3,328.18

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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.