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Finding the Fourth Proportional to 10,148.25, 15,222.41 and 3,992.25

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Solution

The fourth proportional to 10,148.25, 15,222.41 and 3,992.25 is: 5,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.25 : 15,222.41 = 3,992.25 : x
  2. Step 2: Convert to fraction form
    10,148.25/15,222.41 = 3,992.25/x
  3. Step 3: Cross multiply
    10,148.25x = 15,222.41 × 3,992.25
  4. Step 4: Simplify right side
    10,148.25x = 60,771,646.36
  5. Step 5: Solve for x
    x = 60,771,646.36/10,148.25
  6. Step 6: Final answer
    x = 5,988.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.