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Finding the Fourth Proportional to 3,293.65, 4,942.42 and 1,215.11

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Solution

The fourth proportional to 3,293.65, 4,942.42 and 1,215.11 is: 1,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.65 : 4,942.42 = 1,215.11 : x
  2. Step 2: Convert to fraction form
    3,293.65/4,942.42 = 1,215.11/x
  3. Step 3: Cross multiply
    3,293.65x = 4,942.42 × 1,215.11
  4. Step 4: Simplify right side
    3,293.65x = 6,005,579.38
  5. Step 5: Solve for x
    x = 6,005,579.38/3,293.65
  6. Step 6: Final answer
    x = 1,823.38

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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.