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Finding the Fourth Proportional to 2,809.64, 4,214.55 and 960.68

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Solution

The fourth proportional to 2,809.64, 4,214.55 and 960.68 is: 1,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.64 : 4,214.55 = 960.68 : x
  2. Step 2: Convert to fraction form
    2,809.64/4,214.55 = 960.68/x
  3. Step 3: Cross multiply
    2,809.64x = 4,214.55 × 960.68
  4. Step 4: Simplify right side
    2,809.64x = 4,048,833.89
  5. Step 5: Solve for x
    x = 4,048,833.89/2,809.64
  6. Step 6: Final answer
    x = 1,441.05

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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.