Home / 2,164.06-3,246.50-931.24

Finding the Fourth Proportional to 2,164.06, 3,246.50 and 931.24

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Solution

The fourth proportional to 2,164.06, 3,246.50 and 931.24 is: 1,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.06 : 3,246.50 = 931.24 : x
  2. Step 2: Convert to fraction form
    2,164.06/3,246.50 = 931.24/x
  3. Step 3: Cross multiply
    2,164.06x = 3,246.50 × 931.24
  4. Step 4: Simplify right side
    2,164.06x = 3,023,270.66
  5. Step 5: Solve for x
    x = 3,023,270.66/2,164.06
  6. Step 6: Final answer
    x = 1,397.04

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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.