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Finding the Fourth Proportional to 2,943.86, 4,416.33 and 969.60

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Solution

The fourth proportional to 2,943.86, 4,416.33 and 969.60 is: 1,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.86 : 4,416.33 = 969.60 : x
  2. Step 2: Convert to fraction form
    2,943.86/4,416.33 = 969.60/x
  3. Step 3: Cross multiply
    2,943.86x = 4,416.33 × 969.60
  4. Step 4: Simplify right side
    2,943.86x = 4,282,073.57
  5. Step 5: Solve for x
    x = 4,282,073.57/2,943.86
  6. Step 6: Final answer
    x = 1,454.58

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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.