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Finding the Fourth Proportional to 3,352, 5,028 and 1,378.56

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Solution

The fourth proportional to 3,352, 5,028 and 1,378.56 is: 2,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352 : 5,028 = 1,378.56 : x
  2. Step 2: Convert to fraction form
    3,352/5,028 = 1,378.56/x
  3. Step 3: Cross multiply
    3,352x = 5,028 × 1,378.56
  4. Step 4: Simplify right side
    3,352x = 6,931,399.68
  5. Step 5: Solve for x
    x = 6,931,399.68/3,352
  6. Step 6: Final answer
    x = 2,067.84

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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.