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Finding the Fourth Proportional to 21,704.92, 32,570.76 and 9,867.16

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Solution

The fourth proportional to 21,704.92, 32,570.76 and 9,867.16 is: 14,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.92 : 32,570.76 = 9,867.16 : x
  2. Step 2: Convert to fraction form
    21,704.92/32,570.76 = 9,867.16/x
  3. Step 3: Cross multiply
    21,704.92x = 32,570.76 × 9,867.16
  4. Step 4: Simplify right side
    21,704.92x = 321,380,900.24
  5. Step 5: Solve for x
    x = 321,380,900.24/21,704.92
  6. Step 6: Final answer
    x = 14,806.82

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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.