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Finding the Fourth Proportional to 6,663.38, 9,198.74 and 5,225.20

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Solution

The fourth proportional to 6,663.38, 9,198.74 and 5,225.20 is: 7,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.38 : 9,198.74 = 5,225.20 : x
  2. Step 2: Convert to fraction form
    6,663.38/9,198.74 = 5,225.20/x
  3. Step 3: Cross multiply
    6,663.38x = 9,198.74 × 5,225.20
  4. Step 4: Simplify right side
    6,663.38x = 48,065,207.13
  5. Step 5: Solve for x
    x = 48,065,207.13/6,663.38
  6. Step 6: Final answer
    x = 7,213.34

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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.