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Finding the Fourth Proportional to 11,754.87, 17,636.73 and 7,078.17

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Solution

The fourth proportional to 11,754.87, 17,636.73 and 7,078.17 is: 10,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.87 : 17,636.73 = 7,078.17 : x
  2. Step 2: Convert to fraction form
    11,754.87/17,636.73 = 7,078.17/x
  3. Step 3: Cross multiply
    11,754.87x = 17,636.73 × 7,078.17
  4. Step 4: Simplify right side
    11,754.87x = 124,835,773.18
  5. Step 5: Solve for x
    x = 124,835,773.18/11,754.87
  6. Step 6: Final answer
    x = 10,619.92

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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.