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Finding the Fourth Proportional to 3,976.65, 5,487.90 and 2,208.42

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Solution

The fourth proportional to 3,976.65, 5,487.90 and 2,208.42 is: 3,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.65 : 5,487.90 = 2,208.42 : x
  2. Step 2: Convert to fraction form
    3,976.65/5,487.90 = 2,208.42/x
  3. Step 3: Cross multiply
    3,976.65x = 5,487.90 × 2,208.42
  4. Step 4: Simplify right side
    3,976.65x = 12,119,588.12
  5. Step 5: Solve for x
    x = 12,119,588.12/3,976.65
  6. Step 6: Final answer
    x = 3,047.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.