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Finding the Fourth Proportional to 5,715.09, 7,888.05 and 3,722.09

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Solution

The fourth proportional to 5,715.09, 7,888.05 and 3,722.09 is: 5,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.09 : 7,888.05 = 3,722.09 : x
  2. Step 2: Convert to fraction form
    5,715.09/7,888.05 = 3,722.09/x
  3. Step 3: Cross multiply
    5,715.09x = 7,888.05 × 3,722.09
  4. Step 4: Simplify right side
    5,715.09x = 29,359,992.58
  5. Step 5: Solve for x
    x = 29,359,992.58/5,715.09
  6. Step 6: Final answer
    x = 5,137.28

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Why These Related Problems?

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