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Finding the Fourth Proportional to 8,521.74, 12,784.23 and 2,676.78

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Solution

The fourth proportional to 8,521.74, 12,784.23 and 2,676.78 is: 4,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.74 : 12,784.23 = 2,676.78 : x
  2. Step 2: Convert to fraction form
    8,521.74/12,784.23 = 2,676.78/x
  3. Step 3: Cross multiply
    8,521.74x = 12,784.23 × 2,676.78
  4. Step 4: Simplify right side
    8,521.74x = 34,220,571.18
  5. Step 5: Solve for x
    x = 34,220,571.18/8,521.74
  6. Step 6: Final answer
    x = 4,015.68

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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.