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Finding the Fourth Proportional to 3,645.78, 5,442.20 and 3,375.06

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Solution

The fourth proportional to 3,645.78, 5,442.20 and 3,375.06 is: 5,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.78 : 5,442.20 = 3,375.06 : x
  2. Step 2: Convert to fraction form
    3,645.78/5,442.20 = 3,375.06/x
  3. Step 3: Cross multiply
    3,645.78x = 5,442.20 × 3,375.06
  4. Step 4: Simplify right side
    3,645.78x = 18,367,734.66
  5. Step 5: Solve for x
    x = 18,367,734.66/3,645.78
  6. Step 6: Final answer
    x = 5,038.08

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1.5x scale

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.