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Finding the Fourth Proportional to 3,357.62, 5,031.29 and 1,408.76

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Solution

The fourth proportional to 3,357.62, 5,031.29 and 1,408.76 is: 2,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.62 : 5,031.29 = 1,408.76 : x
  2. Step 2: Convert to fraction form
    3,357.62/5,031.29 = 1,408.76/x
  3. Step 3: Cross multiply
    3,357.62x = 5,031.29 × 1,408.76
  4. Step 4: Simplify right side
    3,357.62x = 7,087,858.47
  5. Step 5: Solve for x
    x = 7,087,858.47/3,357.62
  6. Step 6: Final answer
    x = 2,110.98

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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.