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Finding the Fourth Proportional to 2,787.75, 4,182.08 and 913.09

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Solution

The fourth proportional to 2,787.75, 4,182.08 and 913.09 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.75 : 4,182.08 = 913.09 : x
  2. Step 2: Convert to fraction form
    2,787.75/4,182.08 = 913.09/x
  3. Step 3: Cross multiply
    2,787.75x = 4,182.08 × 913.09
  4. Step 4: Simplify right side
    2,787.75x = 3,818,615.43
  5. Step 5: Solve for x
    x = 3,818,615.43/2,787.75
  6. Step 6: Final answer
    x = 1,369.78

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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.