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Finding the Fourth Proportional to 7,538.67, 11,305.67 and 2,540.07

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Solution

The fourth proportional to 7,538.67, 11,305.67 and 2,540.07 is: 3,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.67 : 11,305.67 = 2,540.07 : x
  2. Step 2: Convert to fraction form
    7,538.67/11,305.67 = 2,540.07/x
  3. Step 3: Cross multiply
    7,538.67x = 11,305.67 × 2,540.07
  4. Step 4: Simplify right side
    7,538.67x = 28,717,180.50
  5. Step 5: Solve for x
    x = 28,717,180.50/7,538.67
  6. Step 6: Final answer
    x = 3,809.32

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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.