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Finding the Fourth Proportional to 11,132.92, 16,672.88 and 6,443.05

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Solution

The fourth proportional to 11,132.92, 16,672.88 and 6,443.05 is: 9,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.92 : 16,672.88 = 6,443.05 : x
  2. Step 2: Convert to fraction form
    11,132.92/16,672.88 = 6,443.05/x
  3. Step 3: Cross multiply
    11,132.92x = 16,672.88 × 6,443.05
  4. Step 4: Simplify right side
    11,132.92x = 107,424,199.48
  5. Step 5: Solve for x
    x = 107,424,199.48/11,132.92
  6. Step 6: Final answer
    x = 9,649.24

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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.