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Finding the Fourth Proportional to 21,980.75, 32,975.27 and 8,834.14

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Solution

The fourth proportional to 21,980.75, 32,975.27 and 8,834.14 is: 13,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.75 : 32,975.27 = 8,834.14 : x
  2. Step 2: Convert to fraction form
    21,980.75/32,975.27 = 8,834.14/x
  3. Step 3: Cross multiply
    21,980.75x = 32,975.27 × 8,834.14
  4. Step 4: Simplify right side
    21,980.75x = 291,308,151.72
  5. Step 5: Solve for x
    x = 291,308,151.72/21,980.75
  6. Step 6: Final answer
    x = 13,252.88

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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.