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Finding the Fourth Proportional to 8,665.38, 11,958.20 and 4,686.48

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Solution

The fourth proportional to 8,665.38, 11,958.20 and 4,686.48 is: 6,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.38 : 11,958.20 = 4,686.48 : x
  2. Step 2: Convert to fraction form
    8,665.38/11,958.20 = 4,686.48/x
  3. Step 3: Cross multiply
    8,665.38x = 11,958.20 × 4,686.48
  4. Step 4: Simplify right side
    8,665.38x = 56,041,865.14
  5. Step 5: Solve for x
    x = 56,041,865.14/8,665.38
  6. Step 6: Final answer
    x = 6,467.33

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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.