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Finding the Fourth Proportional to 6,687.72, 9,224.10 and 4,588.20

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Solution

The fourth proportional to 6,687.72, 9,224.10 and 4,588.20 is: 6,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.72 : 9,224.10 = 4,588.20 : x
  2. Step 2: Convert to fraction form
    6,687.72/9,224.10 = 4,588.20/x
  3. Step 3: Cross multiply
    6,687.72x = 9,224.10 × 4,588.20
  4. Step 4: Simplify right side
    6,687.72x = 42,322,015.62
  5. Step 5: Solve for x
    x = 42,322,015.62/6,687.72
  6. Step 6: Final answer
    x = 6,328.32

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Half 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.