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Finding the Fourth Proportional to 21,874.68, 32,807.16 and 6,288.66

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Solution

The fourth proportional to 21,874.68, 32,807.16 and 6,288.66 is: 9,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.68 : 32,807.16 = 6,288.66 : x
  2. Step 2: Convert to fraction form
    21,874.68/32,807.16 = 6,288.66/x
  3. Step 3: Cross multiply
    21,874.68x = 32,807.16 × 6,288.66
  4. Step 4: Simplify right side
    21,874.68x = 206,313,074.81
  5. Step 5: Solve for x
    x = 206,313,074.81/21,874.68
  6. Step 6: Final answer
    x = 9,431.59

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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.