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Finding the Fourth Proportional to 8,508.22, 12,762.32 and 6,787.78

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Solution

The fourth proportional to 8,508.22, 12,762.32 and 6,787.78 is: 10,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.22 : 12,762.32 = 6,787.78 : x
  2. Step 2: Convert to fraction form
    8,508.22/12,762.32 = 6,787.78/x
  3. Step 3: Cross multiply
    8,508.22x = 12,762.32 × 6,787.78
  4. Step 4: Simplify right side
    8,508.22x = 86,627,820.45
  5. Step 5: Solve for x
    x = 86,627,820.45/8,508.22
  6. Step 6: Final answer
    x = 10,181.66

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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.