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Finding the Fourth Proportional to 14,179.70, 19,569.11 and 8,211.47

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Solution

The fourth proportional to 14,179.70, 19,569.11 and 8,211.47 is: 11,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.70 : 19,569.11 = 8,211.47 : x
  2. Step 2: Convert to fraction form
    14,179.70/19,569.11 = 8,211.47/x
  3. Step 3: Cross multiply
    14,179.70x = 19,569.11 × 8,211.47
  4. Step 4: Simplify right side
    14,179.70x = 160,691,229.14
  5. Step 5: Solve for x
    x = 160,691,229.14/14,179.70
  6. Step 6: Final answer
    x = 11,332.49

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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.