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Finding the Fourth Proportional to 4,338, 5,988.60 and 4,078.80

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Solution

The fourth proportional to 4,338, 5,988.60 and 4,078.80 is: 5,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338 : 5,988.60 = 4,078.80 : x
  2. Step 2: Convert to fraction form
    4,338/5,988.60 = 4,078.80/x
  3. Step 3: Cross multiply
    4,338x = 5,988.60 × 4,078.80
  4. Step 4: Simplify right side
    4,338x = 24,426,301.68
  5. Step 5: Solve for x
    x = 24,426,301.68/4,338
  6. Step 6: Final answer
    x = 5,630.77

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Why These Related Problems?

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