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Finding the Fourth Proportional to 2,891.90, 4,336.55 and 916.97

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Solution

The fourth proportional to 2,891.90, 4,336.55 and 916.97 is: 1,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.90 : 4,336.55 = 916.97 : x
  2. Step 2: Convert to fraction form
    2,891.90/4,336.55 = 916.97/x
  3. Step 3: Cross multiply
    2,891.90x = 4,336.55 × 916.97
  4. Step 4: Simplify right side
    2,891.90x = 3,976,463.42
  5. Step 5: Solve for x
    x = 3,976,463.42/2,891.90
  6. Step 6: Final answer
    x = 1,375.03

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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.