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Finding the Fourth Proportional to 1,593.47, 2,390.92 and 1,231.40

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Solution

The fourth proportional to 1,593.47, 2,390.92 and 1,231.40 is: 1,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.47 : 2,390.92 = 1,231.40 : x
  2. Step 2: Convert to fraction form
    1,593.47/2,390.92 = 1,231.40/x
  3. Step 3: Cross multiply
    1,593.47x = 2,390.92 × 1,231.40
  4. Step 4: Simplify right side
    1,593.47x = 2,944,181.79
  5. Step 5: Solve for x
    x = 2,944,181.79/1,593.47
  6. Step 6: Final answer
    x = 1,847.65

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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.