Home / 10,327.50-15,493.68-3,402

Finding the Fourth Proportional to 10,327.50, 15,493.68 and 3,402

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Solution

The fourth proportional to 10,327.50, 15,493.68 and 3,402 is: 5,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.50 : 15,493.68 = 3,402 : x
  2. Step 2: Convert to fraction form
    10,327.50/15,493.68 = 3,402/x
  3. Step 3: Cross multiply
    10,327.50x = 15,493.68 × 3,402
  4. Step 4: Simplify right side
    10,327.50x = 52,709,499.36
  5. Step 5: Solve for x
    x = 52,709,499.36/10,327.50
  6. Step 6: Final answer
    x = 5,103.80

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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.