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Finding the Fourth Proportional to 7,238, 9,988.44 and 3,926

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Solution

The fourth proportional to 7,238, 9,988.44 and 3,926 is: 5,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238 : 9,988.44 = 3,926 : x
  2. Step 2: Convert to fraction form
    7,238/9,988.44 = 3,926/x
  3. Step 3: Cross multiply
    7,238x = 9,988.44 × 3,926
  4. Step 4: Simplify right side
    7,238x = 39,214,615.44
  5. Step 5: Solve for x
    x = 39,214,615.44/7,238
  6. Step 6: Final answer
    x = 5,417.88

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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.