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Finding the Fourth Proportional to 3,513.72, 5,270.86 and 916.68

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Solution

The fourth proportional to 3,513.72, 5,270.86 and 916.68 is: 1,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.72 : 5,270.86 = 916.68 : x
  2. Step 2: Convert to fraction form
    3,513.72/5,270.86 = 916.68/x
  3. Step 3: Cross multiply
    3,513.72x = 5,270.86 × 916.68
  4. Step 4: Simplify right side
    3,513.72x = 4,831,691.94
  5. Step 5: Solve for x
    x = 4,831,691.94/3,513.72
  6. Step 6: Final answer
    x = 1,375.09

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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.