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Finding the Fourth Proportional to 7,856.88, 11,773.12 and 4,571.52

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Solution

The fourth proportional to 7,856.88, 11,773.12 and 4,571.52 is: 6,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.88 : 11,773.12 = 4,571.52 : x
  2. Step 2: Convert to fraction form
    7,856.88/11,773.12 = 4,571.52/x
  3. Step 3: Cross multiply
    7,856.88x = 11,773.12 × 4,571.52
  4. Step 4: Simplify right side
    7,856.88x = 53,821,053.54
  5. Step 5: Solve for x
    x = 53,821,053.54/7,856.88
  6. Step 6: Final answer
    x = 6,850.18

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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.