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Finding the Fourth Proportional to 8,312.78, 12,469.20 and 2,156.78

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Solution

The fourth proportional to 8,312.78, 12,469.20 and 2,156.78 is: 3,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.78 : 12,469.20 = 2,156.78 : x
  2. Step 2: Convert to fraction form
    8,312.78/12,469.20 = 2,156.78/x
  3. Step 3: Cross multiply
    8,312.78x = 12,469.20 × 2,156.78
  4. Step 4: Simplify right side
    8,312.78x = 26,893,321.18
  5. Step 5: Solve for x
    x = 26,893,321.18/8,312.78
  6. Step 6: Final answer
    x = 3,235.18

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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.