Home / 2,306.21-3,458.23-766.13

Finding the Fourth Proportional to 2,306.21, 3,458.23 and 766.13

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Solution

The fourth proportional to 2,306.21, 3,458.23 and 766.13 is: 1,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.21 : 3,458.23 = 766.13 : x
  2. Step 2: Convert to fraction form
    2,306.21/3,458.23 = 766.13/x
  3. Step 3: Cross multiply
    2,306.21x = 3,458.23 × 766.13
  4. Step 4: Simplify right side
    2,306.21x = 2,649,434.54
  5. Step 5: Solve for x
    x = 2,649,434.54/2,306.21
  6. Step 6: Final answer
    x = 1,148.83

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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.