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Finding the Fourth Proportional to 3,114.71, 4,327.80 and 3,082.22

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Solution

The fourth proportional to 3,114.71, 4,327.80 and 3,082.22 is: 4,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.71 : 4,327.80 = 3,082.22 : x
  2. Step 2: Convert to fraction form
    3,114.71/4,327.80 = 3,082.22/x
  3. Step 3: Cross multiply
    3,114.71x = 4,327.80 × 3,082.22
  4. Step 4: Simplify right side
    3,114.71x = 13,339,210.08
  5. Step 5: Solve for x
    x = 13,339,210.08/3,114.71
  6. Step 6: Final answer
    x = 4,282.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.