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Finding the Fourth Proportional to 6,521.78, 9,786.18 and 4,331.54

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Solution

The fourth proportional to 6,521.78, 9,786.18 and 4,331.54 is: 6,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.78 : 9,786.18 = 4,331.54 : x
  2. Step 2: Convert to fraction form
    6,521.78/9,786.18 = 4,331.54/x
  3. Step 3: Cross multiply
    6,521.78x = 9,786.18 × 4,331.54
  4. Step 4: Simplify right side
    6,521.78x = 42,389,230.12
  5. Step 5: Solve for x
    x = 42,389,230.12/6,521.78
  6. Step 6: Final answer
    x = 6,499.64

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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.