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Finding the Fourth Proportional to 31,077, 42,887.16 and 17,649

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Solution

The fourth proportional to 31,077, 42,887.16 and 17,649 is: 24,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077 : 42,887.16 = 17,649 : x
  2. Step 2: Convert to fraction form
    31,077/42,887.16 = 17,649/x
  3. Step 3: Cross multiply
    31,077x = 42,887.16 × 17,649
  4. Step 4: Simplify right side
    31,077x = 756,915,486.84
  5. Step 5: Solve for x
    x = 756,915,486.84/31,077
  6. Step 6: Final answer
    x = 24,356.13

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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.