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Finding the Fourth Proportional to 5,709.12, 7,878.48 and 3,225.12

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Solution

The fourth proportional to 5,709.12, 7,878.48 and 3,225.12 is: 4,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.12 : 7,878.48 = 3,225.12 : x
  2. Step 2: Convert to fraction form
    5,709.12/7,878.48 = 3,225.12/x
  3. Step 3: Cross multiply
    5,709.12x = 7,878.48 × 3,225.12
  4. Step 4: Simplify right side
    5,709.12x = 25,409,043.42
  5. Step 5: Solve for x
    x = 25,409,043.42/5,709.12
  6. Step 6: Final answer
    x = 4,450.61

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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.