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Finding the Fourth Proportional to 7,145.88, 9,866.76 and 5,571.24

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Solution

The fourth proportional to 7,145.88, 9,866.76 and 5,571.24 is: 7,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.88 : 9,866.76 = 5,571.24 : x
  2. Step 2: Convert to fraction form
    7,145.88/9,866.76 = 5,571.24/x
  3. Step 3: Cross multiply
    7,145.88x = 9,866.76 × 5,571.24
  4. Step 4: Simplify right side
    7,145.88x = 54,970,087.98
  5. Step 5: Solve for x
    x = 54,970,087.98/7,145.88
  6. Step 6: Final answer
    x = 7,692.56

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Half scale
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Double scale
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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.