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Finding the Fourth Proportional to 6,909.90, 10,368.66 and 3,213.90

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Solution

The fourth proportional to 6,909.90, 10,368.66 and 3,213.90 is: 4,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.90 : 10,368.66 = 3,213.90 : x
  2. Step 2: Convert to fraction form
    6,909.90/10,368.66 = 3,213.90/x
  3. Step 3: Cross multiply
    6,909.90x = 10,368.66 × 3,213.90
  4. Step 4: Simplify right side
    6,909.90x = 33,323,836.37
  5. Step 5: Solve for x
    x = 33,323,836.37/6,909.90
  6. Step 6: Final answer
    x = 4,822.62

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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.