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Finding the Fourth Proportional to 13,305.90, 18,362.03 and 7,337.82

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Solution

The fourth proportional to 13,305.90, 18,362.03 and 7,337.82 is: 10,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.90 : 18,362.03 = 7,337.82 : x
  2. Step 2: Convert to fraction form
    13,305.90/18,362.03 = 7,337.82/x
  3. Step 3: Cross multiply
    13,305.90x = 18,362.03 × 7,337.82
  4. Step 4: Simplify right side
    13,305.90x = 134,737,270.97
  5. Step 5: Solve for x
    x = 134,737,270.97/13,305.90
  6. Step 6: Final answer
    x = 10,126.13

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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.