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Finding the Fourth Proportional to 20,599.56, 30,822.80 and 12,284.10

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Solution

The fourth proportional to 20,599.56, 30,822.80 and 12,284.10 is: 18,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,599.56 : 30,822.80 = 12,284.10 : x
  2. Step 2: Convert to fraction form
    20,599.56/30,822.80 = 12,284.10/x
  3. Step 3: Cross multiply
    20,599.56x = 30,822.80 × 12,284.10
  4. Step 4: Simplify right side
    20,599.56x = 378,630,296.06
  5. Step 5: Solve for x
    x = 378,630,296.06/20,599.56
  6. Step 6: Final answer
    x = 18,380.50

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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.