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Finding the Fourth Proportional to 7,486.20, 11,207.70 and 7,270.20

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Solution

The fourth proportional to 7,486.20, 11,207.70 and 7,270.20 is: 10,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.20 : 11,207.70 = 7,270.20 : x
  2. Step 2: Convert to fraction form
    7,486.20/11,207.70 = 7,270.20/x
  3. Step 3: Cross multiply
    7,486.20x = 11,207.70 × 7,270.20
  4. Step 4: Simplify right side
    7,486.20x = 81,482,220.54
  5. Step 5: Solve for x
    x = 81,482,220.54/7,486.20
  6. Step 6: Final answer
    x = 10,884.32

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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.