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Finding the Fourth Proportional to 2,913.53, 4,370.31 and 965.88

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Solution

The fourth proportional to 2,913.53, 4,370.31 and 965.88 is: 1,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.53 : 4,370.31 = 965.88 : x
  2. Step 2: Convert to fraction form
    2,913.53/4,370.31 = 965.88/x
  3. Step 3: Cross multiply
    2,913.53x = 4,370.31 × 965.88
  4. Step 4: Simplify right side
    2,913.53x = 4,221,195.02
  5. Step 5: Solve for x
    x = 4,221,195.02/2,913.53
  6. Step 6: Final answer
    x = 1,448.83

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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.