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Finding the Fourth Proportional to 11,765.32, 17,650.14 and 3,868.28

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Solution

The fourth proportional to 11,765.32, 17,650.14 and 3,868.28 is: 5,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.32 : 17,650.14 = 3,868.28 : x
  2. Step 2: Convert to fraction form
    11,765.32/17,650.14 = 3,868.28/x
  3. Step 3: Cross multiply
    11,765.32x = 17,650.14 × 3,868.28
  4. Step 4: Simplify right side
    11,765.32x = 68,275,595.31
  5. Step 5: Solve for x
    x = 68,275,595.31/11,765.32
  6. Step 6: Final answer
    x = 5,803.12

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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.