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Finding the Fourth Proportional to 27,874.64, 41,860.84 and 21,641.68

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Solution

The fourth proportional to 27,874.64, 41,860.84 and 21,641.68 is: 32,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.64 : 41,860.84 = 21,641.68 : x
  2. Step 2: Convert to fraction form
    27,874.64/41,860.84 = 21,641.68/x
  3. Step 3: Cross multiply
    27,874.64x = 41,860.84 × 21,641.68
  4. Step 4: Simplify right side
    27,874.64x = 905,938,903.81
  5. Step 5: Solve for x
    x = 905,938,903.81/27,874.64
  6. Step 6: Final answer
    x = 32,500.47

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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.