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Finding the Fourth Proportional to 3,207.50, 4,811.44 and 899.18

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Solution

The fourth proportional to 3,207.50, 4,811.44 and 899.18 is: 1,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.50 : 4,811.44 = 899.18 : x
  2. Step 2: Convert to fraction form
    3,207.50/4,811.44 = 899.18/x
  3. Step 3: Cross multiply
    3,207.50x = 4,811.44 × 899.18
  4. Step 4: Simplify right side
    3,207.50x = 4,326,350.62
  5. Step 5: Solve for x
    x = 4,326,350.62/3,207.50
  6. Step 6: Final answer
    x = 1,348.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.