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Finding the Fourth Proportional to 7,270.80, 10,032.50 and 4,286.22

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Solution

The fourth proportional to 7,270.80, 10,032.50 and 4,286.22 is: 5,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.80 : 10,032.50 = 4,286.22 : x
  2. Step 2: Convert to fraction form
    7,270.80/10,032.50 = 4,286.22/x
  3. Step 3: Cross multiply
    7,270.80x = 10,032.50 × 4,286.22
  4. Step 4: Simplify right side
    7,270.80x = 43,001,480.72
  5. Step 5: Solve for x
    x = 43,001,480.72/7,270.80
  6. Step 6: Final answer
    x = 5,914.27

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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.