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Finding the Fourth Proportional to 3,920.61, 5,880.89 and 959.07

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Solution

The fourth proportional to 3,920.61, 5,880.89 and 959.07 is: 1,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.61 : 5,880.89 = 959.07 : x
  2. Step 2: Convert to fraction form
    3,920.61/5,880.89 = 959.07/x
  3. Step 3: Cross multiply
    3,920.61x = 5,880.89 × 959.07
  4. Step 4: Simplify right side
    3,920.61x = 5,640,209.62
  5. Step 5: Solve for x
    x = 5,640,209.62/3,920.61
  6. Step 6: Final answer
    x = 1,438.60

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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.