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Finding the Fourth Proportional to 22,432.30, 33,649.38 and 8,390.86

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Solution

The fourth proportional to 22,432.30, 33,649.38 and 8,390.86 is: 12,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.30 : 33,649.38 = 8,390.86 : x
  2. Step 2: Convert to fraction form
    22,432.30/33,649.38 = 8,390.86/x
  3. Step 3: Cross multiply
    22,432.30x = 33,649.38 × 8,390.86
  4. Step 4: Simplify right side
    22,432.30x = 282,347,236.67
  5. Step 5: Solve for x
    x = 282,347,236.67/22,432.30
  6. Step 6: Final answer
    x = 12,586.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.