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Finding the Fourth Proportional to 21,659.64, 32,489.22 and 6,868.16

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Solution

The fourth proportional to 21,659.64, 32,489.22 and 6,868.16 is: 10,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.64 : 32,489.22 = 6,868.16 : x
  2. Step 2: Convert to fraction form
    21,659.64/32,489.22 = 6,868.16/x
  3. Step 3: Cross multiply
    21,659.64x = 32,489.22 × 6,868.16
  4. Step 4: Simplify right side
    21,659.64x = 223,141,107.75
  5. Step 5: Solve for x
    x = 223,141,107.75/21,659.64
  6. Step 6: Final answer
    x = 10,302.16

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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.