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Finding the Fourth Proportional to 6,378.72, 9,567 and 3,458.40

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Solution

The fourth proportional to 6,378.72, 9,567 and 3,458.40 is: 5,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.72 : 9,567 = 3,458.40 : x
  2. Step 2: Convert to fraction form
    6,378.72/9,567 = 3,458.40/x
  3. Step 3: Cross multiply
    6,378.72x = 9,567 × 3,458.40
  4. Step 4: Simplify right side
    6,378.72x = 33,086,512.80
  5. Step 5: Solve for x
    x = 33,086,512.80/6,378.72
  6. Step 6: Final answer
    x = 5,187.01

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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.