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Finding the Fourth Proportional to 2,971.65, 4,454.24 and 1,238.25

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Solution

The fourth proportional to 2,971.65, 4,454.24 and 1,238.25 is: 1,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.65 : 4,454.24 = 1,238.25 : x
  2. Step 2: Convert to fraction form
    2,971.65/4,454.24 = 1,238.25/x
  3. Step 3: Cross multiply
    2,971.65x = 4,454.24 × 1,238.25
  4. Step 4: Simplify right side
    2,971.65x = 5,515,456.49
  5. Step 5: Solve for x
    x = 5,515,456.49/2,971.65
  6. Step 6: Final answer
    x = 1,856.02

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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.