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Finding the Fourth Proportional to 8,492.31, 12,738.47 and 2,649.38

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Solution

The fourth proportional to 8,492.31, 12,738.47 and 2,649.38 is: 3,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.31 : 12,738.47 = 2,649.38 : x
  2. Step 2: Convert to fraction form
    8,492.31/12,738.47 = 2,649.38/x
  3. Step 3: Cross multiply
    8,492.31x = 12,738.47 × 2,649.38
  4. Step 4: Simplify right side
    8,492.31x = 33,748,970.71
  5. Step 5: Solve for x
    x = 33,748,970.71/8,492.31
  6. Step 6: Final answer
    x = 3,974.06

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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.