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Finding the Fourth Proportional to 21,775.82, 32,654.51 and 6,976.67

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Solution

The fourth proportional to 21,775.82, 32,654.51 and 6,976.67 is: 10,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.82 : 32,654.51 = 6,976.67 : x
  2. Step 2: Convert to fraction form
    21,775.82/32,654.51 = 6,976.67/x
  3. Step 3: Cross multiply
    21,775.82x = 32,654.51 × 6,976.67
  4. Step 4: Simplify right side
    21,775.82x = 227,819,542.13
  5. Step 5: Solve for x
    x = 227,819,542.13/21,775.82
  6. Step 6: Final answer
    x = 10,462.04

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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.