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Finding the Fourth Proportional to 5,721.12, 7,890.48 and 3,857.76

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Solution

The fourth proportional to 5,721.12, 7,890.48 and 3,857.76 is: 5,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.12 : 7,890.48 = 3,857.76 : x
  2. Step 2: Convert to fraction form
    5,721.12/7,890.48 = 3,857.76/x
  3. Step 3: Cross multiply
    5,721.12x = 7,890.48 × 3,857.76
  4. Step 4: Simplify right side
    5,721.12x = 30,439,578.12
  5. Step 5: Solve for x
    x = 30,439,578.12/5,721.12
  6. Step 6: Final answer
    x = 5,320.56

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1.5x scale

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.