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Finding the Fourth Proportional to 11,006.25, 16,509.98 and 4,431.58

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Solution

The fourth proportional to 11,006.25, 16,509.98 and 4,431.58 is: 6,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.25 : 16,509.98 = 4,431.58 : x
  2. Step 2: Convert to fraction form
    11,006.25/16,509.98 = 4,431.58/x
  3. Step 3: Cross multiply
    11,006.25x = 16,509.98 × 4,431.58
  4. Step 4: Simplify right side
    11,006.25x = 73,165,242.04
  5. Step 5: Solve for x
    x = 73,165,242.04/11,006.25
  6. Step 6: Final answer
    x = 6,647.61

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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.