Home / 5,200.25-7,176.32-2,842.40

Finding the Fourth Proportional to 5,200.25, 7,176.32 and 2,842.40

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Solution

The fourth proportional to 5,200.25, 7,176.32 and 2,842.40 is: 3,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.25 : 7,176.32 = 2,842.40 : x
  2. Step 2: Convert to fraction form
    5,200.25/7,176.32 = 2,842.40/x
  3. Step 3: Cross multiply
    5,200.25x = 7,176.32 × 2,842.40
  4. Step 4: Simplify right side
    5,200.25x = 20,397,971.97
  5. Step 5: Solve for x
    x = 20,397,971.97/5,200.25
  6. Step 6: Final answer
    x = 3,922.50

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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.