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Finding the Fourth Proportional to 2,976.34, 4,107.34 and 1,930.22

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Solution

The fourth proportional to 2,976.34, 4,107.34 and 1,930.22 is: 2,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.34 : 4,107.34 = 1,930.22 : x
  2. Step 2: Convert to fraction form
    2,976.34/4,107.34 = 1,930.22/x
  3. Step 3: Cross multiply
    2,976.34x = 4,107.34 × 1,930.22
  4. Step 4: Simplify right side
    2,976.34x = 7,928,069.81
  5. Step 5: Solve for x
    x = 7,928,069.81/2,976.34
  6. Step 6: Final answer
    x = 2,663.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.