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Finding the Fourth Proportional to 8,521.36, 12,777 and 3,321.16

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Solution

The fourth proportional to 8,521.36, 12,777 and 3,321.16 is: 4,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.36 : 12,777 = 3,321.16 : x
  2. Step 2: Convert to fraction form
    8,521.36/12,777 = 3,321.16/x
  3. Step 3: Cross multiply
    8,521.36x = 12,777 × 3,321.16
  4. Step 4: Simplify right side
    8,521.36x = 42,434,461.32
  5. Step 5: Solve for x
    x = 42,434,461.32/8,521.36
  6. Step 6: Final answer
    x = 4,979.78

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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.