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Finding the Fourth Proportional to 8,385.78, 12,580.22 and 2,763.78

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Solution

The fourth proportional to 8,385.78, 12,580.22 and 2,763.78 is: 4,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.78 : 12,580.22 = 2,763.78 : x
  2. Step 2: Convert to fraction form
    8,385.78/12,580.22 = 2,763.78/x
  3. Step 3: Cross multiply
    8,385.78x = 12,580.22 × 2,763.78
  4. Step 4: Simplify right side
    8,385.78x = 34,768,960.43
  5. Step 5: Solve for x
    x = 34,768,960.43/8,385.78
  6. Step 6: Final answer
    x = 4,146.18

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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.