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Finding the Fourth Proportional to 10,486.94, 15,729.05 and 3,092.18

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Solution

The fourth proportional to 10,486.94, 15,729.05 and 3,092.18 is: 4,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.94 : 15,729.05 = 3,092.18 : x
  2. Step 2: Convert to fraction form
    10,486.94/15,729.05 = 3,092.18/x
  3. Step 3: Cross multiply
    10,486.94x = 15,729.05 × 3,092.18
  4. Step 4: Simplify right side
    10,486.94x = 48,636,982.91
  5. Step 5: Solve for x
    x = 48,636,982.91/10,486.94
  6. Step 6: Final answer
    x = 4,637.86

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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.