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Finding the Fourth Proportional to 7,143.96, 9,856.80 and 4,782

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Solution

The fourth proportional to 7,143.96, 9,856.80 and 4,782 is: 6,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.96 : 9,856.80 = 4,782 : x
  2. Step 2: Convert to fraction form
    7,143.96/9,856.80 = 4,782/x
  3. Step 3: Cross multiply
    7,143.96x = 9,856.80 × 4,782
  4. Step 4: Simplify right side
    7,143.96x = 47,135,217.60
  5. Step 5: Solve for x
    x = 47,135,217.60/7,143.96
  6. Step 6: Final answer
    x = 6,597.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.