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Finding the Fourth Proportional to 7,208.16, 9,947.27 and 3,896.16

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Solution

The fourth proportional to 7,208.16, 9,947.27 and 3,896.16 is: 5,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.16 : 9,947.27 = 3,896.16 : x
  2. Step 2: Convert to fraction form
    7,208.16/9,947.27 = 3,896.16/x
  3. Step 3: Cross multiply
    7,208.16x = 9,947.27 × 3,896.16
  4. Step 4: Simplify right side
    7,208.16x = 38,756,136.00
  5. Step 5: Solve for x
    x = 38,756,136.00/7,208.16
  6. Step 6: Final answer
    x = 5,376.70

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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.