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Finding the Fourth Proportional to 20,807.60, 31,208.96 and 8,327.12

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Solution

The fourth proportional to 20,807.60, 31,208.96 and 8,327.12 is: 12,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.60 : 31,208.96 = 8,327.12 : x
  2. Step 2: Convert to fraction form
    20,807.60/31,208.96 = 8,327.12/x
  3. Step 3: Cross multiply
    20,807.60x = 31,208.96 × 8,327.12
  4. Step 4: Simplify right side
    20,807.60x = 259,880,619.77
  5. Step 5: Solve for x
    x = 259,880,619.77/20,807.60
  6. Step 6: Final answer
    x = 12,489.70

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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.