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Finding the Fourth Proportional to 8,492.42, 12,740.79 and 2,649.08

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Solution

The fourth proportional to 8,492.42, 12,740.79 and 2,649.08 is: 3,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.42 : 12,740.79 = 2,649.08 : x
  2. Step 2: Convert to fraction form
    8,492.42/12,740.79 = 2,649.08/x
  3. Step 3: Cross multiply
    8,492.42x = 12,740.79 × 2,649.08
  4. Step 4: Simplify right side
    8,492.42x = 33,751,308.27
  5. Step 5: Solve for x
    x = 33,751,308.27/8,492.42
  6. Step 6: Final answer
    x = 3,974.29

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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.