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Finding the Fourth Proportional to 21,805.28, 32,708.04 and 7,765.85

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Solution

The fourth proportional to 21,805.28, 32,708.04 and 7,765.85 is: 11,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.28 : 32,708.04 = 7,765.85 : x
  2. Step 2: Convert to fraction form
    21,805.28/32,708.04 = 7,765.85/x
  3. Step 3: Cross multiply
    21,805.28x = 32,708.04 × 7,765.85
  4. Step 4: Simplify right side
    21,805.28x = 254,005,568.89
  5. Step 5: Solve for x
    x = 254,005,568.89/21,805.28
  6. Step 6: Final answer
    x = 11,648.81

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1.5x scale

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.