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Finding the Fourth Proportional to 1,899.31, 2,844.96 and 972.04

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Solution

The fourth proportional to 1,899.31, 2,844.96 and 972.04 is: 1,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.31 : 2,844.96 = 972.04 : x
  2. Step 2: Convert to fraction form
    1,899.31/2,844.96 = 972.04/x
  3. Step 3: Cross multiply
    1,899.31x = 2,844.96 × 972.04
  4. Step 4: Simplify right side
    1,899.31x = 2,765,414.92
  5. Step 5: Solve for x
    x = 2,765,414.92/1,899.31
  6. Step 6: Final answer
    x = 1,456.01

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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.