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Finding the Fourth Proportional to 9,991.69, 14,984.70 and 2,971.42

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Solution

The fourth proportional to 9,991.69, 14,984.70 and 2,971.42 is: 4,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.69 : 14,984.70 = 2,971.42 : x
  2. Step 2: Convert to fraction form
    9,991.69/14,984.70 = 2,971.42/x
  3. Step 3: Cross multiply
    9,991.69x = 14,984.70 × 2,971.42
  4. Step 4: Simplify right side
    9,991.69x = 44,525,837.27
  5. Step 5: Solve for x
    x = 44,525,837.27/9,991.69
  6. Step 6: Final answer
    x = 4,456.29

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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.