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Finding the Fourth Proportional to 11,878.94, 17,818.02 and 5,643.43

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Solution

The fourth proportional to 11,878.94, 17,818.02 and 5,643.43 is: 8,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.94 : 17,818.02 = 5,643.43 : x
  2. Step 2: Convert to fraction form
    11,878.94/17,818.02 = 5,643.43/x
  3. Step 3: Cross multiply
    11,878.94x = 17,818.02 × 5,643.43
  4. Step 4: Simplify right side
    11,878.94x = 100,554,704.06
  5. Step 5: Solve for x
    x = 100,554,704.06/11,878.94
  6. Step 6: Final answer
    x = 8,464.95

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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.