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Finding the Fourth Proportional to 5,720.76, 7,892.25 and 3,731.25

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Solution

The fourth proportional to 5,720.76, 7,892.25 and 3,731.25 is: 5,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.76 : 7,892.25 = 3,731.25 : x
  2. Step 2: Convert to fraction form
    5,720.76/7,892.25 = 3,731.25/x
  3. Step 3: Cross multiply
    5,720.76x = 7,892.25 × 3,731.25
  4. Step 4: Simplify right side
    5,720.76x = 29,447,950.01
  5. Step 5: Solve for x
    x = 29,447,950.01/5,720.76
  6. Step 6: Final answer
    x = 5,147.56

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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.