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Finding the Fourth Proportional to 12,489.84, 17,235.78 and 6,824.47

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Solution

The fourth proportional to 12,489.84, 17,235.78 and 6,824.47 is: 9,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.84 : 17,235.78 = 6,824.47 : x
  2. Step 2: Convert to fraction form
    12,489.84/17,235.78 = 6,824.47/x
  3. Step 3: Cross multiply
    12,489.84x = 17,235.78 × 6,824.47
  4. Step 4: Simplify right side
    12,489.84x = 117,625,063.54
  5. Step 5: Solve for x
    x = 117,625,063.54/12,489.84
  6. Step 6: Final answer
    x = 9,417.66

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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.