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Finding the Fourth Proportional to 6,139.14, 9,202.78 and 1,976.32

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Solution

The fourth proportional to 6,139.14, 9,202.78 and 1,976.32 is: 2,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.14 : 9,202.78 = 1,976.32 : x
  2. Step 2: Convert to fraction form
    6,139.14/9,202.78 = 1,976.32/x
  3. Step 3: Cross multiply
    6,139.14x = 9,202.78 × 1,976.32
  4. Step 4: Simplify right side
    6,139.14x = 18,187,669.69
  5. Step 5: Solve for x
    x = 18,187,669.69/6,139.14
  6. Step 6: Final answer
    x = 2,962.58

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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.