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Finding the Fourth Proportional to 2,446.08, 3,668.40 and 906.72

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Solution

The fourth proportional to 2,446.08, 3,668.40 and 906.72 is: 1,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.08 : 3,668.40 = 906.72 : x
  2. Step 2: Convert to fraction form
    2,446.08/3,668.40 = 906.72/x
  3. Step 3: Cross multiply
    2,446.08x = 3,668.40 × 906.72
  4. Step 4: Simplify right side
    2,446.08x = 3,326,211.65
  5. Step 5: Solve for x
    x = 3,326,211.65/2,446.08
  6. Step 6: Final answer
    x = 1,359.81

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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.