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Finding the Fourth Proportional to 20,774.71, 31,165.71 and 8,935.75

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Solution

The fourth proportional to 20,774.71, 31,165.71 and 8,935.75 is: 13,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.71 : 31,165.71 = 8,935.75 : x
  2. Step 2: Convert to fraction form
    20,774.71/31,165.71 = 8,935.75/x
  3. Step 3: Cross multiply
    20,774.71x = 31,165.71 × 8,935.75
  4. Step 4: Simplify right side
    20,774.71x = 278,489,048.84
  5. Step 5: Solve for x
    x = 278,489,048.84/20,774.71
  6. Step 6: Final answer
    x = 13,405.19

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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.