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Finding the Fourth Proportional to 8,228.84, 12,321.30 and 4,937.42

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Solution

The fourth proportional to 8,228.84, 12,321.30 and 4,937.42 is: 7,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.84 : 12,321.30 = 4,937.42 : x
  2. Step 2: Convert to fraction form
    8,228.84/12,321.30 = 4,937.42/x
  3. Step 3: Cross multiply
    8,228.84x = 12,321.30 × 4,937.42
  4. Step 4: Simplify right side
    8,228.84x = 60,835,433.05
  5. Step 5: Solve for x
    x = 60,835,433.05/8,228.84
  6. Step 6: Final answer
    x = 7,392.95

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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.