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Finding the Fourth Proportional to 5,725.35, 7,900.88 and 3,207.49

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Solution

The fourth proportional to 5,725.35, 7,900.88 and 3,207.49 is: 4,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.35 : 7,900.88 = 3,207.49 : x
  2. Step 2: Convert to fraction form
    5,725.35/7,900.88 = 3,207.49/x
  3. Step 3: Cross multiply
    5,725.35x = 7,900.88 × 3,207.49
  4. Step 4: Simplify right side
    5,725.35x = 25,341,960.22
  5. Step 5: Solve for x
    x = 25,341,960.22/5,725.35
  6. Step 6: Final answer
    x = 4,426.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.