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Finding the Fourth Proportional to 7,483.31, 11,231.91 and 3,788.11

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Solution

The fourth proportional to 7,483.31, 11,231.91 and 3,788.11 is: 5,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.31 : 11,231.91 = 3,788.11 : x
  2. Step 2: Convert to fraction form
    7,483.31/11,231.91 = 3,788.11/x
  3. Step 3: Cross multiply
    7,483.31x = 11,231.91 × 3,788.11
  4. Step 4: Simplify right side
    7,483.31x = 42,547,691.65
  5. Step 5: Solve for x
    x = 42,547,691.65/7,483.31
  6. Step 6: Final answer
    x = 5,685.68

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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.