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Finding the Fourth Proportional to 12,257.40, 16,915.20 and 6,668.40

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Solution

The fourth proportional to 12,257.40, 16,915.20 and 6,668.40 is: 9,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.40 : 16,915.20 = 6,668.40 : x
  2. Step 2: Convert to fraction form
    12,257.40/16,915.20 = 6,668.40/x
  3. Step 3: Cross multiply
    12,257.40x = 16,915.20 × 6,668.40
  4. Step 4: Simplify right side
    12,257.40x = 112,797,319.68
  5. Step 5: Solve for x
    x = 112,797,319.68/12,257.40
  6. Step 6: Final answer
    x = 9,202.39

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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.