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Finding the Fourth Proportional to 2,114.32, 3,171.92 and 653.44

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Solution

The fourth proportional to 2,114.32, 3,171.92 and 653.44 is: 980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.32 : 3,171.92 = 653.44 : x
  2. Step 2: Convert to fraction form
    2,114.32/3,171.92 = 653.44/x
  3. Step 3: Cross multiply
    2,114.32x = 3,171.92 × 653.44
  4. Step 4: Simplify right side
    2,114.32x = 2,072,659.40
  5. Step 5: Solve for x
    x = 2,072,659.40/2,114.32
  6. Step 6: Final answer
    x = 980.30

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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.