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Finding the Fourth Proportional to 21,765.88, 32,644.19 and 6,970.83

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Solution

The fourth proportional to 21,765.88, 32,644.19 and 6,970.83 is: 10,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.88 : 32,644.19 = 6,970.83 : x
  2. Step 2: Convert to fraction form
    21,765.88/32,644.19 = 6,970.83/x
  3. Step 3: Cross multiply
    21,765.88x = 32,644.19 × 6,970.83
  4. Step 4: Simplify right side
    21,765.88x = 227,556,993.99
  5. Step 5: Solve for x
    x = 227,556,993.99/21,765.88
  6. Step 6: Final answer
    x = 10,454.76

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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.