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Finding the Fourth Proportional to 8,492.78, 12,739.98 and 3,299.06

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Solution

The fourth proportional to 8,492.78, 12,739.98 and 3,299.06 is: 4,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.78 : 12,739.98 = 3,299.06 : x
  2. Step 2: Convert to fraction form
    8,492.78/12,739.98 = 3,299.06/x
  3. Step 3: Cross multiply
    8,492.78x = 12,739.98 × 3,299.06
  4. Step 4: Simplify right side
    8,492.78x = 42,029,958.42
  5. Step 5: Solve for x
    x = 42,029,958.42/8,492.78
  6. Step 6: Final answer
    x = 4,948.90

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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.