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Finding the Fourth Proportional to 8,246.82, 12,355.83 and 6,869.01

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Solution

The fourth proportional to 8,246.82, 12,355.83 and 6,869.01 is: 10,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.82 : 12,355.83 = 6,869.01 : x
  2. Step 2: Convert to fraction form
    8,246.82/12,355.83 = 6,869.01/x
  3. Step 3: Cross multiply
    8,246.82x = 12,355.83 × 6,869.01
  4. Step 4: Simplify right side
    8,246.82x = 84,872,319.83
  5. Step 5: Solve for x
    x = 84,872,319.83/8,246.82
  6. Step 6: Final answer
    x = 10,291.52

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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.