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Finding the Fourth Proportional to 26,651.91, 39,978.87 and 6,929.92

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Solution

The fourth proportional to 26,651.91, 39,978.87 and 6,929.92 is: 10,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,651.91 : 39,978.87 = 6,929.92 : x
  2. Step 2: Convert to fraction form
    26,651.91/39,978.87 = 6,929.92/x
  3. Step 3: Cross multiply
    26,651.91x = 39,978.87 × 6,929.92
  4. Step 4: Simplify right side
    26,651.91x = 277,050,370.79
  5. Step 5: Solve for x
    x = 277,050,370.79/26,651.91
  6. Step 6: Final answer
    x = 10,395.14

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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.