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Finding the Fourth Proportional to 5,322.30, 7,971.30 and 5,200.80

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Solution

The fourth proportional to 5,322.30, 7,971.30 and 5,200.80 is: 7,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.30 : 7,971.30 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    5,322.30/7,971.30 = 5,200.80/x
  3. Step 3: Cross multiply
    5,322.30x = 7,971.30 × 5,200.80
  4. Step 4: Simplify right side
    5,322.30x = 41,457,137.04
  5. Step 5: Solve for x
    x = 41,457,137.04/5,322.30
  6. Step 6: Final answer
    x = 7,789.33

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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.