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Finding the Fourth Proportional to 21,661, 32,486.51 and 6,867.16

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Solution

The fourth proportional to 21,661, 32,486.51 and 6,867.16 is: 10,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661 : 32,486.51 = 6,867.16 : x
  2. Step 2: Convert to fraction form
    21,661/32,486.51 = 6,867.16/x
  3. Step 3: Cross multiply
    21,661x = 32,486.51 × 6,867.16
  4. Step 4: Simplify right side
    21,661x = 223,090,027.68
  5. Step 5: Solve for x
    x = 223,090,027.68/21,661
  6. Step 6: Final answer
    x = 10,299.16

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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.