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Finding the Fourth Proportional to 5,221.99, 7,206.39 and 2,831.98

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Solution

The fourth proportional to 5,221.99, 7,206.39 and 2,831.98 is: 3,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.99 : 7,206.39 = 2,831.98 : x
  2. Step 2: Convert to fraction form
    5,221.99/7,206.39 = 2,831.98/x
  3. Step 3: Cross multiply
    5,221.99x = 7,206.39 × 2,831.98
  4. Step 4: Simplify right side
    5,221.99x = 20,408,352.35
  5. Step 5: Solve for x
    x = 20,408,352.35/5,221.99
  6. Step 6: Final answer
    x = 3,908.16

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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.