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Finding the Fourth Proportional to 12,902.11, 17,802.21 and 8,432.43

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Solution

The fourth proportional to 12,902.11, 17,802.21 and 8,432.43 is: 11,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.11 : 17,802.21 = 8,432.43 : x
  2. Step 2: Convert to fraction form
    12,902.11/17,802.21 = 8,432.43/x
  3. Step 3: Cross multiply
    12,902.11x = 17,802.21 × 8,432.43
  4. Step 4: Simplify right side
    12,902.11x = 150,115,889.67
  5. Step 5: Solve for x
    x = 150,115,889.67/12,902.11
  6. Step 6: Final answer
    x = 11,634.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.