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Finding the Fourth Proportional to 21,770.20, 32,606.70 and 17,882.20

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Solution

The fourth proportional to 21,770.20, 32,606.70 and 17,882.20 is: 26,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.20 : 32,606.70 = 17,882.20 : x
  2. Step 2: Convert to fraction form
    21,770.20/32,606.70 = 17,882.20/x
  3. Step 3: Cross multiply
    21,770.20x = 32,606.70 × 17,882.20
  4. Step 4: Simplify right side
    21,770.20x = 583,079,530.74
  5. Step 5: Solve for x
    x = 583,079,530.74/21,770.20
  6. Step 6: Final answer
    x = 26,783.38

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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.