Home / 2,164.19-3,246.75-931.68

Finding the Fourth Proportional to 2,164.19, 3,246.75 and 931.68

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Solution

The fourth proportional to 2,164.19, 3,246.75 and 931.68 is: 1,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.19 : 3,246.75 = 931.68 : x
  2. Step 2: Convert to fraction form
    2,164.19/3,246.75 = 931.68/x
  3. Step 3: Cross multiply
    2,164.19x = 3,246.75 × 931.68
  4. Step 4: Simplify right side
    2,164.19x = 3,024,932.04
  5. Step 5: Solve for x
    x = 3,024,932.04/2,164.19
  6. Step 6: Final answer
    x = 1,397.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.