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Finding the Fourth Proportional to 1,944.90, 2,915.87 and 971.69

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Solution

The fourth proportional to 1,944.90, 2,915.87 and 971.69 is: 1,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.90 : 2,915.87 = 971.69 : x
  2. Step 2: Convert to fraction form
    1,944.90/2,915.87 = 971.69/x
  3. Step 3: Cross multiply
    1,944.90x = 2,915.87 × 971.69
  4. Step 4: Simplify right side
    1,944.90x = 2,833,302.28
  5. Step 5: Solve for x
    x = 2,833,302.28/1,944.90
  6. Step 6: Final answer
    x = 1,456.79

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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.