Home / 1,971.20-2,956.14-800.90

Finding the Fourth Proportional to 1,971.20, 2,956.14 and 800.90

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Solution

The fourth proportional to 1,971.20, 2,956.14 and 800.90 is: 1,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.20 : 2,956.14 = 800.90 : x
  2. Step 2: Convert to fraction form
    1,971.20/2,956.14 = 800.90/x
  3. Step 3: Cross multiply
    1,971.20x = 2,956.14 × 800.90
  4. Step 4: Simplify right side
    1,971.20x = 2,367,557.75
  5. Step 5: Solve for x
    x = 2,367,557.75/1,971.20
  6. Step 6: Final answer
    x = 1,201.08

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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.