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Finding the Fourth Proportional to 1,439.87, 2,160.68 and 782.18

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Solution

The fourth proportional to 1,439.87, 2,160.68 and 782.18 is: 1,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.87 : 2,160.68 = 782.18 : x
  2. Step 2: Convert to fraction form
    1,439.87/2,160.68 = 782.18/x
  3. Step 3: Cross multiply
    1,439.87x = 2,160.68 × 782.18
  4. Step 4: Simplify right side
    1,439.87x = 1,690,025.97
  5. Step 5: Solve for x
    x = 1,690,025.97/1,439.87
  6. Step 6: Final answer
    x = 1,173.74

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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.