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Finding the Fourth Proportional to 8,583, 11,844.72 and 4,857

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Solution

The fourth proportional to 8,583, 11,844.72 and 4,857 is: 6,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583 : 11,844.72 = 4,857 : x
  2. Step 2: Convert to fraction form
    8,583/11,844.72 = 4,857/x
  3. Step 3: Cross multiply
    8,583x = 11,844.72 × 4,857
  4. Step 4: Simplify right side
    8,583x = 57,529,805.04
  5. Step 5: Solve for x
    x = 57,529,805.04/8,583
  6. Step 6: Final answer
    x = 6,702.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.