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Finding the Fourth Proportional to 31,888, 44,005.44 and 18,640

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Solution

The fourth proportional to 31,888, 44,005.44 and 18,640 is: 25,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888 : 44,005.44 = 18,640 : x
  2. Step 2: Convert to fraction form
    31,888/44,005.44 = 18,640/x
  3. Step 3: Cross multiply
    31,888x = 44,005.44 × 18,640
  4. Step 4: Simplify right side
    31,888x = 820,261,401.60
  5. Step 5: Solve for x
    x = 820,261,401.60/31,888
  6. Step 6: Final answer
    x = 25,723.20

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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.