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Finding the Fourth Proportional to 8,287.36, 12,429.45 and 2,739.22

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Solution

The fourth proportional to 8,287.36, 12,429.45 and 2,739.22 is: 4,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.36 : 12,429.45 = 2,739.22 : x
  2. Step 2: Convert to fraction form
    8,287.36/12,429.45 = 2,739.22/x
  3. Step 3: Cross multiply
    8,287.36x = 12,429.45 × 2,739.22
  4. Step 4: Simplify right side
    8,287.36x = 34,046,966.96
  5. Step 5: Solve for x
    x = 34,046,966.96/8,287.36
  6. Step 6: Final answer
    x = 4,108.30

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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.