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Finding the Fourth Proportional to 21,871.81, 32,812.92 and 7,080.72

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Solution

The fourth proportional to 21,871.81, 32,812.92 and 7,080.72 is: 10,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.81 : 32,812.92 = 7,080.72 : x
  2. Step 2: Convert to fraction form
    21,871.81/32,812.92 = 7,080.72/x
  3. Step 3: Cross multiply
    21,871.81x = 32,812.92 × 7,080.72
  4. Step 4: Simplify right side
    21,871.81x = 232,339,098.90
  5. Step 5: Solve for x
    x = 232,339,098.90/21,871.81
  6. Step 6: Final answer
    x = 10,622.77

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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.