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Finding the Fourth Proportional to 31,020.66, 42,809.85 and 17,591.85

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Solution

The fourth proportional to 31,020.66, 42,809.85 and 17,591.85 is: 24,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020.66 : 42,809.85 = 17,591.85 : x
  2. Step 2: Convert to fraction form
    31,020.66/42,809.85 = 17,591.85/x
  3. Step 3: Cross multiply
    31,020.66x = 42,809.85 × 17,591.85
  4. Step 4: Simplify right side
    31,020.66x = 753,104,459.72
  5. Step 5: Solve for x
    x = 753,104,459.72/31,020.66
  6. Step 6: Final answer
    x = 24,277.51

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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.