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Finding the Fourth Proportional to 7,924.62, 10,936.44 and 4,387.90

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Solution

The fourth proportional to 7,924.62, 10,936.44 and 4,387.90 is: 6,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.62 : 10,936.44 = 4,387.90 : x
  2. Step 2: Convert to fraction form
    7,924.62/10,936.44 = 4,387.90/x
  3. Step 3: Cross multiply
    7,924.62x = 10,936.44 × 4,387.90
  4. Step 4: Simplify right side
    7,924.62x = 47,988,005.08
  5. Step 5: Solve for x
    x = 47,988,005.08/7,924.62
  6. Step 6: Final answer
    x = 6,055.56

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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.