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Finding the Fourth Proportional to 7,843.52, 11,765.01 and 3,681.20

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Solution

The fourth proportional to 7,843.52, 11,765.01 and 3,681.20 is: 5,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.52 : 11,765.01 = 3,681.20 : x
  2. Step 2: Convert to fraction form
    7,843.52/11,765.01 = 3,681.20/x
  3. Step 3: Cross multiply
    7,843.52x = 11,765.01 × 3,681.20
  4. Step 4: Simplify right side
    7,843.52x = 43,309,398.03
  5. Step 5: Solve for x
    x = 43,309,398.03/7,843.52
  6. Step 6: Final answer
    x = 5,521.68

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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.