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Finding the Fourth Proportional to 21,770.71, 32,651.93 and 7,730.17

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Solution

The fourth proportional to 21,770.71, 32,651.93 and 7,730.17 is: 11,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.71 : 32,651.93 = 7,730.17 : x
  2. Step 2: Convert to fraction form
    21,770.71/32,651.93 = 7,730.17/x
  3. Step 3: Cross multiply
    21,770.71x = 32,651.93 × 7,730.17
  4. Step 4: Simplify right side
    21,770.71x = 252,405,029.87
  5. Step 5: Solve for x
    x = 252,405,029.87/21,770.71
  6. Step 6: Final answer
    x = 11,593.79

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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.