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Finding the Fourth Proportional to 12,867.82, 17,758.44 and 7,203.04

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Solution

The fourth proportional to 12,867.82, 17,758.44 and 7,203.04 is: 9,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.82 : 17,758.44 = 7,203.04 : x
  2. Step 2: Convert to fraction form
    12,867.82/17,758.44 = 7,203.04/x
  3. Step 3: Cross multiply
    12,867.82x = 17,758.44 × 7,203.04
  4. Step 4: Simplify right side
    12,867.82x = 127,914,753.66
  5. Step 5: Solve for x
    x = 127,914,753.66/12,867.82
  6. Step 6: Final answer
    x = 9,940.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.