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Finding the Fourth Proportional to 31,868.09, 43,978.00 and 17,720.63

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Solution

The fourth proportional to 31,868.09, 43,978.00 and 17,720.63 is: 24,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868.09 : 43,978.00 = 17,720.63 : x
  2. Step 2: Convert to fraction form
    31,868.09/43,978.00 = 17,720.63/x
  3. Step 3: Cross multiply
    31,868.09x = 43,978.00 × 17,720.63
  4. Step 4: Simplify right side
    31,868.09x = 779,317,601.95
  5. Step 5: Solve for x
    x = 779,317,601.95/31,868.09
  6. Step 6: Final answer
    x = 24,454.48

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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.