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Finding the Fourth Proportional to 11,907.87, 17,862 and 4,515.81

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Solution

The fourth proportional to 11,907.87, 17,862 and 4,515.81 is: 6,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.87 : 17,862 = 4,515.81 : x
  2. Step 2: Convert to fraction form
    11,907.87/17,862 = 4,515.81/x
  3. Step 3: Cross multiply
    11,907.87x = 17,862 × 4,515.81
  4. Step 4: Simplify right side
    11,907.87x = 80,661,398.22
  5. Step 5: Solve for x
    x = 80,661,398.22/11,907.87
  6. Step 6: Final answer
    x = 6,773.79

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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.