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Finding the Fourth Proportional to 2,891.72, 4,335.93 and 916.97

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Solution

The fourth proportional to 2,891.72, 4,335.93 and 916.97 is: 1,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.72 : 4,335.93 = 916.97 : x
  2. Step 2: Convert to fraction form
    2,891.72/4,335.93 = 916.97/x
  3. Step 3: Cross multiply
    2,891.72x = 4,335.93 × 916.97
  4. Step 4: Simplify right side
    2,891.72x = 3,975,920.44
  5. Step 5: Solve for x
    x = 3,975,920.44/2,891.72
  6. Step 6: Final answer
    x = 1,374.93

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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.