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Finding the Fourth Proportional to 3,122.80, 4,309.43 and 1,864.67

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Solution

The fourth proportional to 3,122.80, 4,309.43 and 1,864.67 is: 2,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.80 : 4,309.43 = 1,864.67 : x
  2. Step 2: Convert to fraction form
    3,122.80/4,309.43 = 1,864.67/x
  3. Step 3: Cross multiply
    3,122.80x = 4,309.43 × 1,864.67
  4. Step 4: Simplify right side
    3,122.80x = 8,035,633.97
  5. Step 5: Solve for x
    x = 8,035,633.97/3,122.80
  6. Step 6: Final answer
    x = 2,573.22

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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.