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Finding the Fourth Proportional to 31,073.54, 42,881.76 and 17,645.07

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Solution

The fourth proportional to 31,073.54, 42,881.76 and 17,645.07 is: 24,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.54 : 42,881.76 = 17,645.07 : x
  2. Step 2: Convert to fraction form
    31,073.54/42,881.76 = 17,645.07/x
  3. Step 3: Cross multiply
    31,073.54x = 42,881.76 × 17,645.07
  4. Step 4: Simplify right side
    31,073.54x = 756,651,656.92
  5. Step 5: Solve for x
    x = 756,651,656.92/31,073.54
  6. Step 6: Final answer
    x = 24,350.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.