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Finding the Fourth Proportional to 12,774.38, 17,628.64 and 7,185.38

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Solution

The fourth proportional to 12,774.38, 17,628.64 and 7,185.38 is: 9,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.38 : 17,628.64 = 7,185.38 : x
  2. Step 2: Convert to fraction form
    12,774.38/17,628.64 = 7,185.38/x
  3. Step 3: Cross multiply
    12,774.38x = 17,628.64 × 7,185.38
  4. Step 4: Simplify right side
    12,774.38x = 126,668,371.18
  5. Step 5: Solve for x
    x = 126,668,371.18/12,774.38
  6. Step 6: Final answer
    x = 9,915.82

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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.