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Finding the Fourth Proportional to 1,558, 2,324.92 and 1,350.64

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Solution

The fourth proportional to 1,558, 2,324.92 and 1,350.64 is: 2,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558 : 2,324.92 = 1,350.64 : x
  2. Step 2: Convert to fraction form
    1,558/2,324.92 = 1,350.64/x
  3. Step 3: Cross multiply
    1,558x = 2,324.92 × 1,350.64
  4. Step 4: Simplify right side
    1,558x = 3,140,129.95
  5. Step 5: Solve for x
    x = 3,140,129.95/1,558
  6. Step 6: Final answer
    x = 2,015.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.