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Finding the Fourth Proportional to 21,709.80, 32,564.10 and 6,919.80

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Solution

The fourth proportional to 21,709.80, 32,564.10 and 6,919.80 is: 10,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.80 : 32,564.10 = 6,919.80 : x
  2. Step 2: Convert to fraction form
    21,709.80/32,564.10 = 6,919.80/x
  3. Step 3: Cross multiply
    21,709.80x = 32,564.10 × 6,919.80
  4. Step 4: Simplify right side
    21,709.80x = 225,337,059.18
  5. Step 5: Solve for x
    x = 225,337,059.18/21,709.80
  6. Step 6: Final answer
    x = 10,379.51

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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.