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Finding the Fourth Proportional to 11,881.38, 16,389.14 and 7,631.01

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Solution

The fourth proportional to 11,881.38, 16,389.14 and 7,631.01 is: 10,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.38 : 16,389.14 = 7,631.01 : x
  2. Step 2: Convert to fraction form
    11,881.38/16,389.14 = 7,631.01/x
  3. Step 3: Cross multiply
    11,881.38x = 16,389.14 × 7,631.01
  4. Step 4: Simplify right side
    11,881.38x = 125,065,653.08
  5. Step 5: Solve for x
    x = 125,065,653.08/11,881.38
  6. Step 6: Final answer
    x = 10,526.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.