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Finding the Fourth Proportional to 2,986.64, 4,472.40 and 2,206.88

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Solution

The fourth proportional to 2,986.64, 4,472.40 and 2,206.88 is: 3,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.64 : 4,472.40 = 2,206.88 : x
  2. Step 2: Convert to fraction form
    2,986.64/4,472.40 = 2,206.88/x
  3. Step 3: Cross multiply
    2,986.64x = 4,472.40 × 2,206.88
  4. Step 4: Simplify right side
    2,986.64x = 9,870,050.11
  5. Step 5: Solve for x
    x = 9,870,050.11/2,986.64
  6. Step 6: Final answer
    x = 3,304.73

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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.