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Finding the Fourth Proportional to 12,489.82, 17,235.43 and 6,824.76

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Solution

The fourth proportional to 12,489.82, 17,235.43 and 6,824.76 is: 9,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.82 : 17,235.43 = 6,824.76 : x
  2. Step 2: Convert to fraction form
    12,489.82/17,235.43 = 6,824.76/x
  3. Step 3: Cross multiply
    12,489.82x = 17,235.43 × 6,824.76
  4. Step 4: Simplify right side
    12,489.82x = 117,627,617.14
  5. Step 5: Solve for x
    x = 117,627,617.14/12,489.82
  6. Step 6: Final answer
    x = 9,417.88

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Double scale
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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.