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Finding the Fourth Proportional to 9,914.49, 14,871.31 and 3,340.65

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Solution

The fourth proportional to 9,914.49, 14,871.31 and 3,340.65 is: 5,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.49 : 14,871.31 = 3,340.65 : x
  2. Step 2: Convert to fraction form
    9,914.49/14,871.31 = 3,340.65/x
  3. Step 3: Cross multiply
    9,914.49x = 14,871.31 × 3,340.65
  4. Step 4: Simplify right side
    9,914.49x = 49,679,833.40
  5. Step 5: Solve for x
    x = 49,679,833.40/9,914.49
  6. Step 6: Final answer
    x = 5,010.83

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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.