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Finding the Fourth Proportional to 14,478.62, 19,976.63 and 8,105.13

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Solution

The fourth proportional to 14,478.62, 19,976.63 and 8,105.13 is: 11,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.62 : 19,976.63 = 8,105.13 : x
  2. Step 2: Convert to fraction form
    14,478.62/19,976.63 = 8,105.13/x
  3. Step 3: Cross multiply
    14,478.62x = 19,976.63 × 8,105.13
  4. Step 4: Simplify right side
    14,478.62x = 161,913,142.59
  5. Step 5: Solve for x
    x = 161,913,142.59/14,478.62
  6. Step 6: Final answer
    x = 11,182.92

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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.