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Finding the Fourth Proportional to 15,914, 21,961.32 and 9,631.28

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Solution

The fourth proportional to 15,914, 21,961.32 and 9,631.28 is: 13,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 21,961.32 = 9,631.28 : x
  2. Step 2: Convert to fraction form
    15,914/21,961.32 = 9,631.28/x
  3. Step 3: Cross multiply
    15,914x = 21,961.32 × 9,631.28
  4. Step 4: Simplify right side
    15,914x = 211,515,622.09
  5. Step 5: Solve for x
    x = 211,515,622.09/15,914
  6. Step 6: Final answer
    x = 13,291.17

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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.