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Finding the Fourth Proportional to 8,324.94, 12,487.53 and 2,778.54

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Solution

The fourth proportional to 8,324.94, 12,487.53 and 2,778.54 is: 4,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.94 : 12,487.53 = 2,778.54 : x
  2. Step 2: Convert to fraction form
    8,324.94/12,487.53 = 2,778.54/x
  3. Step 3: Cross multiply
    8,324.94x = 12,487.53 × 2,778.54
  4. Step 4: Simplify right side
    8,324.94x = 34,697,101.61
  5. Step 5: Solve for x
    x = 34,697,101.61/8,324.94
  6. Step 6: Final answer
    x = 4,167.85

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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.