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Finding the Fourth Proportional to 7,382.85, 11,078.82 and 4,269

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Solution

The fourth proportional to 7,382.85, 11,078.82 and 4,269 is: 6,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.85 : 11,078.82 = 4,269 : x
  2. Step 2: Convert to fraction form
    7,382.85/11,078.82 = 4,269/x
  3. Step 3: Cross multiply
    7,382.85x = 11,078.82 × 4,269
  4. Step 4: Simplify right side
    7,382.85x = 47,295,482.58
  5. Step 5: Solve for x
    x = 47,295,482.58/7,382.85
  6. Step 6: Final answer
    x = 6,406.13

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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.