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Finding the Fourth Proportional to 7,856.72, 11,775.03 and 3,687.51

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Solution

The fourth proportional to 7,856.72, 11,775.03 and 3,687.51 is: 5,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.72 : 11,775.03 = 3,687.51 : x
  2. Step 2: Convert to fraction form
    7,856.72/11,775.03 = 3,687.51/x
  3. Step 3: Cross multiply
    7,856.72x = 11,775.03 × 3,687.51
  4. Step 4: Simplify right side
    7,856.72x = 43,420,540.88
  5. Step 5: Solve for x
    x = 43,420,540.88/7,856.72
  6. Step 6: Final answer
    x = 5,526.55

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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.