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Finding the Fourth Proportional to 3,082.74, 4,624.77 and 891.28

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Solution

The fourth proportional to 3,082.74, 4,624.77 and 891.28 is: 1,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.74 : 4,624.77 = 891.28 : x
  2. Step 2: Convert to fraction form
    3,082.74/4,624.77 = 891.28/x
  3. Step 3: Cross multiply
    3,082.74x = 4,624.77 × 891.28
  4. Step 4: Simplify right side
    3,082.74x = 4,121,965.01
  5. Step 5: Solve for x
    x = 4,121,965.01/3,082.74
  6. Step 6: Final answer
    x = 1,337.11

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1.5x scale

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.