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Finding the Fourth Proportional to 8,486.72, 12,732 and 2,940.16

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Solution

The fourth proportional to 8,486.72, 12,732 and 2,940.16 is: 4,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.72 : 12,732 = 2,940.16 : x
  2. Step 2: Convert to fraction form
    8,486.72/12,732 = 2,940.16/x
  3. Step 3: Cross multiply
    8,486.72x = 12,732 × 2,940.16
  4. Step 4: Simplify right side
    8,486.72x = 37,434,117.12
  5. Step 5: Solve for x
    x = 37,434,117.12/8,486.72
  6. Step 6: Final answer
    x = 4,410.91

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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.