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Finding the Fourth Proportional to 2,342.78, 3,230.58 and 1,503.54

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Solution

The fourth proportional to 2,342.78, 3,230.58 and 1,503.54 is: 2,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.78 : 3,230.58 = 1,503.54 : x
  2. Step 2: Convert to fraction form
    2,342.78/3,230.58 = 1,503.54/x
  3. Step 3: Cross multiply
    2,342.78x = 3,230.58 × 1,503.54
  4. Step 4: Simplify right side
    2,342.78x = 4,857,306.25
  5. Step 5: Solve for x
    x = 4,857,306.25/2,342.78
  6. Step 6: Final answer
    x = 2,073.31

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1.5x scale

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.