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Finding the Fourth Proportional to 9,991.40, 14,975.10 and 6,871.40

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Solution

The fourth proportional to 9,991.40, 14,975.10 and 6,871.40 is: 10,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.40 : 14,975.10 = 6,871.40 : x
  2. Step 2: Convert to fraction form
    9,991.40/14,975.10 = 6,871.40/x
  3. Step 3: Cross multiply
    9,991.40x = 14,975.10 × 6,871.40
  4. Step 4: Simplify right side
    9,991.40x = 102,899,902.14
  5. Step 5: Solve for x
    x = 102,899,902.14/9,991.40
  6. Step 6: Final answer
    x = 10,298.85

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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.