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Finding the Fourth Proportional to 20,892.49, 31,341.66 and 6,102.49

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Solution

The fourth proportional to 20,892.49, 31,341.66 and 6,102.49 is: 9,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.49 : 31,341.66 = 6,102.49 : x
  2. Step 2: Convert to fraction form
    20,892.49/31,341.66 = 6,102.49/x
  3. Step 3: Cross multiply
    20,892.49x = 31,341.66 × 6,102.49
  4. Step 4: Simplify right side
    20,892.49x = 191,262,166.73
  5. Step 5: Solve for x
    x = 191,262,166.73/20,892.49
  6. Step 6: Final answer
    x = 9,154.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.