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Finding the Fourth Proportional to 2,293.68, 3,165 and 1,349.20

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Solution

The fourth proportional to 2,293.68, 3,165 and 1,349.20 is: 1,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.68 : 3,165 = 1,349.20 : x
  2. Step 2: Convert to fraction form
    2,293.68/3,165 = 1,349.20/x
  3. Step 3: Cross multiply
    2,293.68x = 3,165 × 1,349.20
  4. Step 4: Simplify right side
    2,293.68x = 4,270,218
  5. Step 5: Solve for x
    x = 4,270,218/2,293.68
  6. Step 6: Final answer
    x = 1,861.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.