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Finding the Fourth Proportional to 8,492.46, 12,738.24 and 2,648.64

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Solution

The fourth proportional to 8,492.46, 12,738.24 and 2,648.64 is: 3,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.46 : 12,738.24 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    8,492.46/12,738.24 = 2,648.64/x
  3. Step 3: Cross multiply
    8,492.46x = 12,738.24 × 2,648.64
  4. Step 4: Simplify right side
    8,492.46x = 33,739,011.99
  5. Step 5: Solve for x
    x = 33,739,011.99/8,492.46
  6. Step 6: Final answer
    x = 3,972.82

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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.