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Finding the Fourth Proportional to 8,280.14, 12,408.14 and 3,839.17

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Solution

The fourth proportional to 8,280.14, 12,408.14 and 3,839.17 is: 5,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.14 : 12,408.14 = 3,839.17 : x
  2. Step 2: Convert to fraction form
    8,280.14/12,408.14 = 3,839.17/x
  3. Step 3: Cross multiply
    8,280.14x = 12,408.14 × 3,839.17
  4. Step 4: Simplify right side
    8,280.14x = 47,636,914.99
  5. Step 5: Solve for x
    x = 47,636,914.99/8,280.14
  6. Step 6: Final answer
    x = 5,753.15

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1.5x scale

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.