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Finding the Fourth Proportional to 1,616.62, 2,231.14 and 917.86

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Solution

The fourth proportional to 1,616.62, 2,231.14 and 917.86 is: 1,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.62 : 2,231.14 = 917.86 : x
  2. Step 2: Convert to fraction form
    1,616.62/2,231.14 = 917.86/x
  3. Step 3: Cross multiply
    1,616.62x = 2,231.14 × 917.86
  4. Step 4: Simplify right side
    1,616.62x = 2,047,874.16
  5. Step 5: Solve for x
    x = 2,047,874.16/1,616.62
  6. Step 6: Final answer
    x = 1,266.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.