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Finding the Fourth Proportional to 7,153.25, 9,871.67 and 3,923.24

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Solution

The fourth proportional to 7,153.25, 9,871.67 and 3,923.24 is: 5,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.25 : 9,871.67 = 3,923.24 : x
  2. Step 2: Convert to fraction form
    7,153.25/9,871.67 = 3,923.24/x
  3. Step 3: Cross multiply
    7,153.25x = 9,871.67 × 3,923.24
  4. Step 4: Simplify right side
    7,153.25x = 38,728,891.06
  5. Step 5: Solve for x
    x = 38,728,891.06/7,153.25
  6. Step 6: Final answer
    x = 5,414.17

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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.