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Finding the Fourth Proportional to 21,891.20, 32,836.80 and 9,409.10

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Solution

The fourth proportional to 21,891.20, 32,836.80 and 9,409.10 is: 14,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.20 : 32,836.80 = 9,409.10 : x
  2. Step 2: Convert to fraction form
    21,891.20/32,836.80 = 9,409.10/x
  3. Step 3: Cross multiply
    21,891.20x = 32,836.80 × 9,409.10
  4. Step 4: Simplify right side
    21,891.20x = 308,964,734.88
  5. Step 5: Solve for x
    x = 308,964,734.88/21,891.20
  6. Step 6: Final answer
    x = 14,113.65

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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.