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Finding the Fourth Proportional to 26,405.92, 39,614 and 8,641.52

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Solution

The fourth proportional to 26,405.92, 39,614 and 8,641.52 is: 12,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.92 : 39,614 = 8,641.52 : x
  2. Step 2: Convert to fraction form
    26,405.92/39,614 = 8,641.52/x
  3. Step 3: Cross multiply
    26,405.92x = 39,614 × 8,641.52
  4. Step 4: Simplify right side
    26,405.92x = 342,325,173.28
  5. Step 5: Solve for x
    x = 342,325,173.28/26,405.92
  6. Step 6: Final answer
    x = 12,963.96

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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.