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Finding the Fourth Proportional to 26,698.32, 40,046.09 and 7,978.51

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Solution

The fourth proportional to 26,698.32, 40,046.09 and 7,978.51 is: 11,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698.32 : 40,046.09 = 7,978.51 : x
  2. Step 2: Convert to fraction form
    26,698.32/40,046.09 = 7,978.51/x
  3. Step 3: Cross multiply
    26,698.32x = 40,046.09 × 7,978.51
  4. Step 4: Simplify right side
    26,698.32x = 319,508,049.36
  5. Step 5: Solve for x
    x = 319,508,049.36/26,698.32
  6. Step 6: Final answer
    x = 11,967.35

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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.