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Finding the Fourth Proportional to 8,477.16, 12,715.72 and 2,321.16

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Solution

The fourth proportional to 8,477.16, 12,715.72 and 2,321.16 is: 3,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.16 : 12,715.72 = 2,321.16 : x
  2. Step 2: Convert to fraction form
    8,477.16/12,715.72 = 2,321.16/x
  3. Step 3: Cross multiply
    8,477.16x = 12,715.72 × 2,321.16
  4. Step 4: Simplify right side
    8,477.16x = 29,515,220.64
  5. Step 5: Solve for x
    x = 29,515,220.64/8,477.16
  6. Step 6: Final answer
    x = 3,481.73

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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.