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Finding the Fourth Proportional to 3,375.24, 5,063.70 and 1,427.40

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Solution

The fourth proportional to 3,375.24, 5,063.70 and 1,427.40 is: 2,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.24 : 5,063.70 = 1,427.40 : x
  2. Step 2: Convert to fraction form
    3,375.24/5,063.70 = 1,427.40/x
  3. Step 3: Cross multiply
    3,375.24x = 5,063.70 × 1,427.40
  4. Step 4: Simplify right side
    3,375.24x = 7,227,925.38
  5. Step 5: Solve for x
    x = 7,227,925.38/3,375.24
  6. Step 6: Final answer
    x = 2,141.46

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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.