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Finding the Fourth Proportional to 15,906.15, 21,960 and 9,945.90

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Solution

The fourth proportional to 15,906.15, 21,960 and 9,945.90 is: 13,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.15 : 21,960 = 9,945.90 : x
  2. Step 2: Convert to fraction form
    15,906.15/21,960 = 9,945.90/x
  3. Step 3: Cross multiply
    15,906.15x = 21,960 × 9,945.90
  4. Step 4: Simplify right side
    15,906.15x = 218,411,964
  5. Step 5: Solve for x
    x = 218,411,964/15,906.15
  6. Step 6: Final answer
    x = 13,731.29

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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.