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Finding the Fourth Proportional to 2,082.90, 3,124.41 and 784.08

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Solution

The fourth proportional to 2,082.90, 3,124.41 and 784.08 is: 1,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.90 : 3,124.41 = 784.08 : x
  2. Step 2: Convert to fraction form
    2,082.90/3,124.41 = 784.08/x
  3. Step 3: Cross multiply
    2,082.90x = 3,124.41 × 784.08
  4. Step 4: Simplify right side
    2,082.90x = 2,449,787.39
  5. Step 5: Solve for x
    x = 2,449,787.39/2,082.90
  6. Step 6: Final answer
    x = 1,176.14

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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.