Home / 2,814.66-4,221.67-762.50

Finding the Fourth Proportional to 2,814.66, 4,221.67 and 762.50

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Solution

The fourth proportional to 2,814.66, 4,221.67 and 762.50 is: 1,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.66 : 4,221.67 = 762.50 : x
  2. Step 2: Convert to fraction form
    2,814.66/4,221.67 = 762.50/x
  3. Step 3: Cross multiply
    2,814.66x = 4,221.67 × 762.50
  4. Step 4: Simplify right side
    2,814.66x = 3,219,023.38
  5. Step 5: Solve for x
    x = 3,219,023.38/2,814.66
  6. Step 6: Final answer
    x = 1,143.66

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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.