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Finding the Fourth Proportional to 5,212.64, 7,811.13 and 2,089.55

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Solution

The fourth proportional to 5,212.64, 7,811.13 and 2,089.55 is: 3,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.64 : 7,811.13 = 2,089.55 : x
  2. Step 2: Convert to fraction form
    5,212.64/7,811.13 = 2,089.55/x
  3. Step 3: Cross multiply
    5,212.64x = 7,811.13 × 2,089.55
  4. Step 4: Simplify right side
    5,212.64x = 16,321,746.69
  5. Step 5: Solve for x
    x = 16,321,746.69/5,212.64
  6. Step 6: Final answer
    x = 3,131.19

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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.