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Finding the Fourth Proportional to 5,756.55, 7,943.71 and 3,238.76

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Solution

The fourth proportional to 5,756.55, 7,943.71 and 3,238.76 is: 4,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.55 : 7,943.71 = 3,238.76 : x
  2. Step 2: Convert to fraction form
    5,756.55/7,943.71 = 3,238.76/x
  3. Step 3: Cross multiply
    5,756.55x = 7,943.71 × 3,238.76
  4. Step 4: Simplify right side
    5,756.55x = 25,727,767.98
  5. Step 5: Solve for x
    x = 25,727,767.98/5,756.55
  6. Step 6: Final answer
    x = 4,469.31

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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.