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Finding the Fourth Proportional to 2,967.81, 4,447.61 and 2,879.11

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Solution

The fourth proportional to 2,967.81, 4,447.61 and 2,879.11 is: 4,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.81 : 4,447.61 = 2,879.11 : x
  2. Step 2: Convert to fraction form
    2,967.81/4,447.61 = 2,879.11/x
  3. Step 3: Cross multiply
    2,967.81x = 4,447.61 × 2,879.11
  4. Step 4: Simplify right side
    2,967.81x = 12,805,160.39
  5. Step 5: Solve for x
    x = 12,805,160.39/2,967.81
  6. Step 6: Final answer
    x = 4,314.69

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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.