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Finding the Fourth Proportional to 6,869.61, 10,308.96 and 2,709.09

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Solution

The fourth proportional to 6,869.61, 10,308.96 and 2,709.09 is: 4,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.61 : 10,308.96 = 2,709.09 : x
  2. Step 2: Convert to fraction form
    6,869.61/10,308.96 = 2,709.09/x
  3. Step 3: Cross multiply
    6,869.61x = 10,308.96 × 2,709.09
  4. Step 4: Simplify right side
    6,869.61x = 27,927,900.45
  5. Step 5: Solve for x
    x = 27,927,900.45/6,869.61
  6. Step 6: Final answer
    x = 4,065.43

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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.