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Finding the Fourth Proportional to 13,640.67, 20,458.17 and 7,066.17

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Solution

The fourth proportional to 13,640.67, 20,458.17 and 7,066.17 is: 10,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.67 : 20,458.17 = 7,066.17 : x
  2. Step 2: Convert to fraction form
    13,640.67/20,458.17 = 7,066.17/x
  3. Step 3: Cross multiply
    13,640.67x = 20,458.17 × 7,066.17
  4. Step 4: Simplify right side
    13,640.67x = 144,560,907.11
  5. Step 5: Solve for x
    x = 144,560,907.11/13,640.67
  6. Step 6: Final answer
    x = 10,597.79

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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.