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Finding the Fourth Proportional to 3,899.72, 5,382.72 and 2,306.92

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Solution

The fourth proportional to 3,899.72, 5,382.72 and 2,306.92 is: 3,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.72 : 5,382.72 = 2,306.92 : x
  2. Step 2: Convert to fraction form
    3,899.72/5,382.72 = 2,306.92/x
  3. Step 3: Cross multiply
    3,899.72x = 5,382.72 × 2,306.92
  4. Step 4: Simplify right side
    3,899.72x = 12,417,530.62
  5. Step 5: Solve for x
    x = 12,417,530.62/3,899.72
  6. Step 6: Final answer
    x = 3,184.21

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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.