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Finding the Fourth Proportional to 2,920.33, 4,379.48 and 945.61

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Solution

The fourth proportional to 2,920.33, 4,379.48 and 945.61 is: 1,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.33 : 4,379.48 = 945.61 : x
  2. Step 2: Convert to fraction form
    2,920.33/4,379.48 = 945.61/x
  3. Step 3: Cross multiply
    2,920.33x = 4,379.48 × 945.61
  4. Step 4: Simplify right side
    2,920.33x = 4,141,267.95
  5. Step 5: Solve for x
    x = 4,141,267.95/2,920.33
  6. Step 6: Final answer
    x = 1,418.08

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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.