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Finding the Fourth Proportional to 5,322.21, 7,971.13 and 2,550.84

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Solution

The fourth proportional to 5,322.21, 7,971.13 and 2,550.84 is: 3,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.21 : 7,971.13 = 2,550.84 : x
  2. Step 2: Convert to fraction form
    5,322.21/7,971.13 = 2,550.84/x
  3. Step 3: Cross multiply
    5,322.21x = 7,971.13 × 2,550.84
  4. Step 4: Simplify right side
    5,322.21x = 20,333,077.25
  5. Step 5: Solve for x
    x = 20,333,077.25/5,322.21
  6. Step 6: Final answer
    x = 3,820.42

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1.5x scale

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.