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Finding the Fourth Proportional to 19,713.60, 29,599.20 and 8,049.60

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Solution

The fourth proportional to 19,713.60, 29,599.20 and 8,049.60 is: 12,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.60 : 29,599.20 = 8,049.60 : x
  2. Step 2: Convert to fraction form
    19,713.60/29,599.20 = 8,049.60/x
  3. Step 3: Cross multiply
    19,713.60x = 29,599.20 × 8,049.60
  4. Step 4: Simplify right side
    19,713.60x = 238,261,720.32
  5. Step 5: Solve for x
    x = 238,261,720.32/19,713.60
  6. Step 6: Final answer
    x = 12,086.16

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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.