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Finding the Fourth Proportional to 21,866.87, 32,792.24 and 7,823.09

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Solution

The fourth proportional to 21,866.87, 32,792.24 and 7,823.09 is: 11,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.87 : 32,792.24 = 7,823.09 : x
  2. Step 2: Convert to fraction form
    21,866.87/32,792.24 = 7,823.09/x
  3. Step 3: Cross multiply
    21,866.87x = 32,792.24 × 7,823.09
  4. Step 4: Simplify right side
    21,866.87x = 256,536,441.74
  5. Step 5: Solve for x
    x = 256,536,441.74/21,866.87
  6. Step 6: Final answer
    x = 11,731.74

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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.