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Finding the Fourth Proportional to 14,185.17, 19,578.98 and 8,215.88

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Solution

The fourth proportional to 14,185.17, 19,578.98 and 8,215.88 is: 11,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.17 : 19,578.98 = 8,215.88 : x
  2. Step 2: Convert to fraction form
    14,185.17/19,578.98 = 8,215.88/x
  3. Step 3: Cross multiply
    14,185.17x = 19,578.98 × 8,215.88
  4. Step 4: Simplify right side
    14,185.17x = 160,858,472.85
  5. Step 5: Solve for x
    x = 160,858,472.85/14,185.17
  6. Step 6: Final answer
    x = 11,339.90

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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.