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Finding the Fourth Proportional to 3,920.43, 5,880.78 and 1,287.99

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Solution

The fourth proportional to 3,920.43, 5,880.78 and 1,287.99 is: 1,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.43 : 5,880.78 = 1,287.99 : x
  2. Step 2: Convert to fraction form
    3,920.43/5,880.78 = 1,287.99/x
  3. Step 3: Cross multiply
    3,920.43x = 5,880.78 × 1,287.99
  4. Step 4: Simplify right side
    3,920.43x = 7,574,385.83
  5. Step 5: Solve for x
    x = 7,574,385.83/3,920.43
  6. Step 6: Final answer
    x = 1,932.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.