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Finding the Fourth Proportional to 5,709.72, 7,879.34 and 3,225.72

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Solution

The fourth proportional to 5,709.72, 7,879.34 and 3,225.72 is: 4,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.72 : 7,879.34 = 3,225.72 : x
  2. Step 2: Convert to fraction form
    5,709.72/7,879.34 = 3,225.72/x
  3. Step 3: Cross multiply
    5,709.72x = 7,879.34 × 3,225.72
  4. Step 4: Simplify right side
    5,709.72x = 25,416,544.62
  5. Step 5: Solve for x
    x = 25,416,544.62/5,709.72
  6. Step 6: Final answer
    x = 4,451.45

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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.