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Finding the Fourth Proportional to 7,407, 11,115.96 and 3,511.41

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Solution

The fourth proportional to 7,407, 11,115.96 and 3,511.41 is: 5,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 11,115.96 = 3,511.41 : x
  2. Step 2: Convert to fraction form
    7,407/11,115.96 = 3,511.41/x
  3. Step 3: Cross multiply
    7,407x = 11,115.96 × 3,511.41
  4. Step 4: Simplify right side
    7,407x = 39,032,693.10
  5. Step 5: Solve for x
    x = 39,032,693.10/7,407
  6. Step 6: Final answer
    x = 5,269.70

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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.