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Finding the Fourth Proportional to 2,971.44, 4,454.16 and 2,147.70

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Solution

The fourth proportional to 2,971.44, 4,454.16 and 2,147.70 is: 3,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.44 : 4,454.16 = 2,147.70 : x
  2. Step 2: Convert to fraction form
    2,971.44/4,454.16 = 2,147.70/x
  3. Step 3: Cross multiply
    2,971.44x = 4,454.16 × 2,147.70
  4. Step 4: Simplify right side
    2,971.44x = 9,566,199.43
  5. Step 5: Solve for x
    x = 9,566,199.43/2,971.44
  6. Step 6: Final answer
    x = 3,219.38

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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.