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Finding the Fourth Proportional to 8,208.69, 12,311.86 and 4,687.26

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Solution

The fourth proportional to 8,208.69, 12,311.86 and 4,687.26 is: 7,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.69 : 12,311.86 = 4,687.26 : x
  2. Step 2: Convert to fraction form
    8,208.69/12,311.86 = 4,687.26/x
  3. Step 3: Cross multiply
    8,208.69x = 12,311.86 × 4,687.26
  4. Step 4: Simplify right side
    8,208.69x = 57,708,888.90
  5. Step 5: Solve for x
    x = 57,708,888.90/8,208.69
  6. Step 6: Final answer
    x = 7,030.22

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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.