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Finding the Fourth Proportional to 1,627.42, 2,246.06 and 997.83

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Solution

The fourth proportional to 1,627.42, 2,246.06 and 997.83 is: 1,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.42 : 2,246.06 = 997.83 : x
  2. Step 2: Convert to fraction form
    1,627.42/2,246.06 = 997.83/x
  3. Step 3: Cross multiply
    1,627.42x = 2,246.06 × 997.83
  4. Step 4: Simplify right side
    1,627.42x = 2,241,193.23
  5. Step 5: Solve for x
    x = 2,241,193.23/1,627.42
  6. Step 6: Final answer
    x = 1,377.15

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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.