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Finding the Fourth Proportional to 1,557.66, 2,339.89 and 941.66

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Solution

The fourth proportional to 1,557.66, 2,339.89 and 941.66 is: 1,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.66 : 2,339.89 = 941.66 : x
  2. Step 2: Convert to fraction form
    1,557.66/2,339.89 = 941.66/x
  3. Step 3: Cross multiply
    1,557.66x = 2,339.89 × 941.66
  4. Step 4: Simplify right side
    1,557.66x = 2,203,375.54
  5. Step 5: Solve for x
    x = 2,203,375.54/1,557.66
  6. Step 6: Final answer
    x = 1,414.54

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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.