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Finding the Fourth Proportional to 20,981.64, 31,460.22 and 8,507.64

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Solution

The fourth proportional to 20,981.64, 31,460.22 and 8,507.64 is: 12,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.64 : 31,460.22 = 8,507.64 : x
  2. Step 2: Convert to fraction form
    20,981.64/31,460.22 = 8,507.64/x
  3. Step 3: Cross multiply
    20,981.64x = 31,460.22 × 8,507.64
  4. Step 4: Simplify right side
    20,981.64x = 267,652,226.08
  5. Step 5: Solve for x
    x = 267,652,226.08/20,981.64
  6. Step 6: Final answer
    x = 12,756.50

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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.