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Finding the Fourth Proportional to 8,493.45, 12,748.27 and 5,212.95

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Solution

The fourth proportional to 8,493.45, 12,748.27 and 5,212.95 is: 7,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.45 : 12,748.27 = 5,212.95 : x
  2. Step 2: Convert to fraction form
    8,493.45/12,748.27 = 5,212.95/x
  3. Step 3: Cross multiply
    8,493.45x = 12,748.27 × 5,212.95
  4. Step 4: Simplify right side
    8,493.45x = 66,456,094.10
  5. Step 5: Solve for x
    x = 66,456,094.10/8,493.45
  6. Step 6: Final answer
    x = 7,824.39

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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.