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Finding the Fourth Proportional to 7,208.38, 9,947.56 and 3,896.38

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Solution

The fourth proportional to 7,208.38, 9,947.56 and 3,896.38 is: 5,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.38 : 9,947.56 = 3,896.38 : x
  2. Step 2: Convert to fraction form
    7,208.38/9,947.56 = 3,896.38/x
  3. Step 3: Cross multiply
    7,208.38x = 9,947.56 × 3,896.38
  4. Step 4: Simplify right side
    7,208.38x = 38,759,473.83
  5. Step 5: Solve for x
    x = 38,759,473.83/7,208.38
  6. Step 6: Final answer
    x = 5,377.00

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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.