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Finding the Fourth Proportional to 21,672.12, 32,482.84 and 9,187.92

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Solution

The fourth proportional to 21,672.12, 32,482.84 and 9,187.92 is: 13,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.12 : 32,482.84 = 9,187.92 : x
  2. Step 2: Convert to fraction form
    21,672.12/32,482.84 = 9,187.92/x
  3. Step 3: Cross multiply
    21,672.12x = 32,482.84 × 9,187.92
  4. Step 4: Simplify right side
    21,672.12x = 298,449,735.29
  5. Step 5: Solve for x
    x = 298,449,735.29/21,672.12
  6. Step 6: Final answer
    x = 13,771.14

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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.