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Finding the Fourth Proportional to 7,409, 11,118.96 and 3,513.41

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Solution

The fourth proportional to 7,409, 11,118.96 and 3,513.41 is: 5,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409 : 11,118.96 = 3,513.41 : x
  2. Step 2: Convert to fraction form
    7,409/11,118.96 = 3,513.41/x
  3. Step 3: Cross multiply
    7,409x = 11,118.96 × 3,513.41
  4. Step 4: Simplify right side
    7,409x = 39,065,465.25
  5. Step 5: Solve for x
    x = 39,065,465.25/7,409
  6. Step 6: Final answer
    x = 5,272.70

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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.