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Finding the Fourth Proportional to 3,513.82, 5,270.70 and 916.76

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Solution

The fourth proportional to 3,513.82, 5,270.70 and 916.76 is: 1,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.82 : 5,270.70 = 916.76 : x
  2. Step 2: Convert to fraction form
    3,513.82/5,270.70 = 916.76/x
  3. Step 3: Cross multiply
    3,513.82x = 5,270.70 × 916.76
  4. Step 4: Simplify right side
    3,513.82x = 4,831,966.93
  5. Step 5: Solve for x
    x = 4,831,966.93/3,513.82
  6. Step 6: Final answer
    x = 1,375.13

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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.