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Finding the Fourth Proportional to 2,082.42, 3,124.08 and 971.03

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Solution

The fourth proportional to 2,082.42, 3,124.08 and 971.03 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.42 : 3,124.08 = 971.03 : x
  2. Step 2: Convert to fraction form
    2,082.42/3,124.08 = 971.03/x
  3. Step 3: Cross multiply
    2,082.42x = 3,124.08 × 971.03
  4. Step 4: Simplify right side
    2,082.42x = 3,033,583.21
  5. Step 5: Solve for x
    x = 3,033,583.21/2,082.42
  6. Step 6: Final answer
    x = 1,456.76

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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.