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Finding the Fourth Proportional to 3,112.49, 4,668.24 and 920.72

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Solution

The fourth proportional to 3,112.49, 4,668.24 and 920.72 is: 1,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.49 : 4,668.24 = 920.72 : x
  2. Step 2: Convert to fraction form
    3,112.49/4,668.24 = 920.72/x
  3. Step 3: Cross multiply
    3,112.49x = 4,668.24 × 920.72
  4. Step 4: Simplify right side
    3,112.49x = 4,298,141.93
  5. Step 5: Solve for x
    x = 4,298,141.93/3,112.49
  6. Step 6: Final answer
    x = 1,380.93

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1.5x scale

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.