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Finding the Fourth Proportional to 10,648.65, 14,694.78 and 6,171.99

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Solution

The fourth proportional to 10,648.65, 14,694.78 and 6,171.99 is: 8,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.65 : 14,694.78 = 6,171.99 : x
  2. Step 2: Convert to fraction form
    10,648.65/14,694.78 = 6,171.99/x
  3. Step 3: Cross multiply
    10,648.65x = 14,694.78 × 6,171.99
  4. Step 4: Simplify right side
    10,648.65x = 90,696,035.21
  5. Step 5: Solve for x
    x = 90,696,035.21/10,648.65
  6. Step 6: Final answer
    x = 8,517.14

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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.