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Finding the Fourth Proportional to 2,864.16, 4,297.10 and 916.56

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Solution

The fourth proportional to 2,864.16, 4,297.10 and 916.56 is: 1,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.16 : 4,297.10 = 916.56 : x
  2. Step 2: Convert to fraction form
    2,864.16/4,297.10 = 916.56/x
  3. Step 3: Cross multiply
    2,864.16x = 4,297.10 × 916.56
  4. Step 4: Simplify right side
    2,864.16x = 3,938,545.39
  5. Step 5: Solve for x
    x = 3,938,545.39/2,864.16
  6. Step 6: Final answer
    x = 1,375.11

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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.