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Finding the Fourth Proportional to 8,638.93, 11,921.77 and 4,862.15

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Solution

The fourth proportional to 8,638.93, 11,921.77 and 4,862.15 is: 6,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.93 : 11,921.77 = 4,862.15 : x
  2. Step 2: Convert to fraction form
    8,638.93/11,921.77 = 4,862.15/x
  3. Step 3: Cross multiply
    8,638.93x = 11,921.77 × 4,862.15
  4. Step 4: Simplify right side
    8,638.93x = 57,965,451.65
  5. Step 5: Solve for x
    x = 57,965,451.65/8,638.93
  6. Step 6: Final answer
    x = 6,709.80

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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.