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Finding the Fourth Proportional to 8,202.83, 11,318.87 and 4,666.10

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Solution

The fourth proportional to 8,202.83, 11,318.87 and 4,666.10 is: 6,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.83 : 11,318.87 = 4,666.10 : x
  2. Step 2: Convert to fraction form
    8,202.83/11,318.87 = 4,666.10/x
  3. Step 3: Cross multiply
    8,202.83x = 11,318.87 × 4,666.10
  4. Step 4: Simplify right side
    8,202.83x = 52,814,934.38
  5. Step 5: Solve for x
    x = 52,814,934.38/8,202.83
  6. Step 6: Final answer
    x = 6,438.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.