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Finding the Fourth Proportional to 26,392, 39,591.24 and 7,924

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Solution

The fourth proportional to 26,392, 39,591.24 and 7,924 is: 11,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,392 : 39,591.24 = 7,924 : x
  2. Step 2: Convert to fraction form
    26,392/39,591.24 = 7,924/x
  3. Step 3: Cross multiply
    26,392x = 39,591.24 × 7,924
  4. Step 4: Simplify right side
    26,392x = 313,720,985.76
  5. Step 5: Solve for x
    x = 313,720,985.76/26,392
  6. Step 6: Final answer
    x = 11,886.97

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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.