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Finding the Fourth Proportional to 2,693.42, 4,040.61 and 961.64

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Solution

The fourth proportional to 2,693.42, 4,040.61 and 961.64 is: 1,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.42 : 4,040.61 = 961.64 : x
  2. Step 2: Convert to fraction form
    2,693.42/4,040.61 = 961.64/x
  3. Step 3: Cross multiply
    2,693.42x = 4,040.61 × 961.64
  4. Step 4: Simplify right side
    2,693.42x = 3,885,612.20
  5. Step 5: Solve for x
    x = 3,885,612.20/2,693.42
  6. Step 6: Final answer
    x = 1,442.63

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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.