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Finding the Fourth Proportional to 2,374.92, 3,278.48 and 1,745.45

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Solution

The fourth proportional to 2,374.92, 3,278.48 and 1,745.45 is: 2,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.92 : 3,278.48 = 1,745.45 : x
  2. Step 2: Convert to fraction form
    2,374.92/3,278.48 = 1,745.45/x
  3. Step 3: Cross multiply
    2,374.92x = 3,278.48 × 1,745.45
  4. Step 4: Simplify right side
    2,374.92x = 5,722,410.09
  5. Step 5: Solve for x
    x = 5,722,410.09/2,374.92
  6. Step 6: Final answer
    x = 2,409.52

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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.