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Finding the Fourth Proportional to 8,599, 11,866.62 and 4,873

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Solution

The fourth proportional to 8,599, 11,866.62 and 4,873 is: 6,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599 : 11,866.62 = 4,873 : x
  2. Step 2: Convert to fraction form
    8,599/11,866.62 = 4,873/x
  3. Step 3: Cross multiply
    8,599x = 11,866.62 × 4,873
  4. Step 4: Simplify right side
    8,599x = 57,826,039.26
  5. Step 5: Solve for x
    x = 57,826,039.26/8,599
  6. Step 6: Final answer
    x = 6,724.74

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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.