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Finding the Fourth Proportional to 31,989, 44,147 and 17,841.72

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Solution

The fourth proportional to 31,989, 44,147 and 17,841.72 is: 24,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989 : 44,147 = 17,841.72 : x
  2. Step 2: Convert to fraction form
    31,989/44,147 = 17,841.72/x
  3. Step 3: Cross multiply
    31,989x = 44,147 × 17,841.72
  4. Step 4: Simplify right side
    31,989x = 787,658,412.84
  5. Step 5: Solve for x
    x = 787,658,412.84/31,989
  6. Step 6: Final answer
    x = 24,622.79

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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.