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Finding the Fourth Proportional to 10,408.87, 15,605.98 and 3,834.20

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Solution

The fourth proportional to 10,408.87, 15,605.98 and 3,834.20 is: 5,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.87 : 15,605.98 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    10,408.87/15,605.98 = 3,834.20/x
  3. Step 3: Cross multiply
    10,408.87x = 15,605.98 × 3,834.20
  4. Step 4: Simplify right side
    10,408.87x = 59,836,448.52
  5. Step 5: Solve for x
    x = 59,836,448.52/10,408.87
  6. Step 6: Final answer
    x = 5,748.60

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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.