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Finding the Fourth Proportional to 5,207.81, 7,811.19 and 2,867.04

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Solution

The fourth proportional to 5,207.81, 7,811.19 and 2,867.04 is: 4,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.81 : 7,811.19 = 2,867.04 : x
  2. Step 2: Convert to fraction form
    5,207.81/7,811.19 = 2,867.04/x
  3. Step 3: Cross multiply
    5,207.81x = 7,811.19 × 2,867.04
  4. Step 4: Simplify right side
    5,207.81x = 22,394,994.18
  5. Step 5: Solve for x
    x = 22,394,994.18/5,207.81
  6. Step 6: Final answer
    x = 4,300.28

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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.