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Finding the Fourth Proportional to 7,765.92, 11,638.46 and 4,250.63

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Solution

The fourth proportional to 7,765.92, 11,638.46 and 4,250.63 is: 6,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.92 : 11,638.46 = 4,250.63 : x
  2. Step 2: Convert to fraction form
    7,765.92/11,638.46 = 4,250.63/x
  3. Step 3: Cross multiply
    7,765.92x = 11,638.46 × 4,250.63
  4. Step 4: Simplify right side
    7,765.92x = 49,470,826.95
  5. Step 5: Solve for x
    x = 49,470,826.95/7,765.92
  6. Step 6: Final answer
    x = 6,370.25

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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.