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Finding the Fourth Proportional to 2,996.87, 4,495.15 and 916.89

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Solution

The fourth proportional to 2,996.87, 4,495.15 and 916.89 is: 1,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.87 : 4,495.15 = 916.89 : x
  2. Step 2: Convert to fraction form
    2,996.87/4,495.15 = 916.89/x
  3. Step 3: Cross multiply
    2,996.87x = 4,495.15 × 916.89
  4. Step 4: Simplify right side
    2,996.87x = 4,121,575.14
  5. Step 5: Solve for x
    x = 4,121,575.14/2,996.87
  6. Step 6: Final answer
    x = 1,375.29

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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.