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Finding the Fourth Proportional to 7,852.95, 11,765.25 and 4,152.87

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Solution

The fourth proportional to 7,852.95, 11,765.25 and 4,152.87 is: 6,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.95 : 11,765.25 = 4,152.87 : x
  2. Step 2: Convert to fraction form
    7,852.95/11,765.25 = 4,152.87/x
  3. Step 3: Cross multiply
    7,852.95x = 11,765.25 × 4,152.87
  4. Step 4: Simplify right side
    7,852.95x = 48,859,553.77
  5. Step 5: Solve for x
    x = 48,859,553.77/7,852.95
  6. Step 6: Final answer
    x = 6,221.81

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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.