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Finding the Fourth Proportional to 5,205.66, 7,811.04 and 2,431.93

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Solution

The fourth proportional to 5,205.66, 7,811.04 and 2,431.93 is: 3,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.66 : 7,811.04 = 2,431.93 : x
  2. Step 2: Convert to fraction form
    5,205.66/7,811.04 = 2,431.93/x
  3. Step 3: Cross multiply
    5,205.66x = 7,811.04 × 2,431.93
  4. Step 4: Simplify right side
    5,205.66x = 18,995,902.51
  5. Step 5: Solve for x
    x = 18,995,902.51/5,205.66
  6. Step 6: Final answer
    x = 3,649.09

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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.