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Finding the Fourth Proportional to 3,839.76, 5,762.16 and 2,975.76

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Solution

The fourth proportional to 3,839.76, 5,762.16 and 2,975.76 is: 4,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.76 : 5,762.16 = 2,975.76 : x
  2. Step 2: Convert to fraction form
    3,839.76/5,762.16 = 2,975.76/x
  3. Step 3: Cross multiply
    3,839.76x = 5,762.16 × 2,975.76
  4. Step 4: Simplify right side
    3,839.76x = 17,146,805.24
  5. Step 5: Solve for x
    x = 17,146,805.24/3,839.76
  6. Step 6: Final answer
    x = 4,465.59

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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.