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Finding the Fourth Proportional to 1,553.20, 2,142.78 and 993.52

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Solution

The fourth proportional to 1,553.20, 2,142.78 and 993.52 is: 1,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.20 : 2,142.78 = 993.52 : x
  2. Step 2: Convert to fraction form
    1,553.20/2,142.78 = 993.52/x
  3. Step 3: Cross multiply
    1,553.20x = 2,142.78 × 993.52
  4. Step 4: Simplify right side
    1,553.20x = 2,128,894.79
  5. Step 5: Solve for x
    x = 2,128,894.79/1,553.20
  6. Step 6: Final answer
    x = 1,370.65

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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.