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Finding the Fourth Proportional to 8,315.78, 12,474.22 and 2,768.90

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Solution

The fourth proportional to 8,315.78, 12,474.22 and 2,768.90 is: 4,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.78 : 12,474.22 = 2,768.90 : x
  2. Step 2: Convert to fraction form
    8,315.78/12,474.22 = 2,768.90/x
  3. Step 3: Cross multiply
    8,315.78x = 12,474.22 × 2,768.90
  4. Step 4: Simplify right side
    8,315.78x = 34,539,867.76
  5. Step 5: Solve for x
    x = 34,539,867.76/8,315.78
  6. Step 6: Final answer
    x = 4,153.53

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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.