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Finding the Fourth Proportional to 9,991.31, 14,989.91 and 2,971.38

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Solution

The fourth proportional to 9,991.31, 14,989.91 and 2,971.38 is: 4,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.31 : 14,989.91 = 2,971.38 : x
  2. Step 2: Convert to fraction form
    9,991.31/14,989.91 = 2,971.38/x
  3. Step 3: Cross multiply
    9,991.31x = 14,989.91 × 2,971.38
  4. Step 4: Simplify right side
    9,991.31x = 44,540,718.78
  5. Step 5: Solve for x
    x = 44,540,718.78/9,991.31
  6. Step 6: Final answer
    x = 4,457.95

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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.