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Finding the Fourth Proportional to 1,787.74, 2,682.18 and 851.08

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Solution

The fourth proportional to 1,787.74, 2,682.18 and 851.08 is: 1,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.74 : 2,682.18 = 851.08 : x
  2. Step 2: Convert to fraction form
    1,787.74/2,682.18 = 851.08/x
  3. Step 3: Cross multiply
    1,787.74x = 2,682.18 × 851.08
  4. Step 4: Simplify right side
    1,787.74x = 2,282,749.75
  5. Step 5: Solve for x
    x = 2,282,749.75/1,787.74
  6. Step 6: Final answer
    x = 1,276.89

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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.