Home / 3,027.69-4,542.20-947.66

Finding the Fourth Proportional to 3,027.69, 4,542.20 and 947.66

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Solution

The fourth proportional to 3,027.69, 4,542.20 and 947.66 is: 1,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.69 : 4,542.20 = 947.66 : x
  2. Step 2: Convert to fraction form
    3,027.69/4,542.20 = 947.66/x
  3. Step 3: Cross multiply
    3,027.69x = 4,542.20 × 947.66
  4. Step 4: Simplify right side
    3,027.69x = 4,304,433.80
  5. Step 5: Solve for x
    x = 4,304,433.80/3,027.69
  6. Step 6: Final answer
    x = 1,421.69

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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.