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Finding the Fourth Proportional to 14,129.43, 19,496.96 and 8,386

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Solution

The fourth proportional to 14,129.43, 19,496.96 and 8,386 is: 11,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.43 : 19,496.96 = 8,386 : x
  2. Step 2: Convert to fraction form
    14,129.43/19,496.96 = 8,386/x
  3. Step 3: Cross multiply
    14,129.43x = 19,496.96 × 8,386
  4. Step 4: Simplify right side
    14,129.43x = 163,501,506.56
  5. Step 5: Solve for x
    x = 163,501,506.56/14,129.43
  6. Step 6: Final answer
    x = 11,571.70

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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.