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Finding the Fourth Proportional to 15,846.20, 21,866.76 and 9,299.60

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Solution

The fourth proportional to 15,846.20, 21,866.76 and 9,299.60 is: 12,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.20 : 21,866.76 = 9,299.60 : x
  2. Step 2: Convert to fraction form
    15,846.20/21,866.76 = 9,299.60/x
  3. Step 3: Cross multiply
    15,846.20x = 21,866.76 × 9,299.60
  4. Step 4: Simplify right side
    15,846.20x = 203,352,121.30
  5. Step 5: Solve for x
    x = 203,352,121.30/15,846.20
  6. Step 6: Final answer
    x = 12,832.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.