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Finding the Fourth Proportional to 13,671.52, 18,858 and 8,078.56

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Solution

The fourth proportional to 13,671.52, 18,858 and 8,078.56 is: 11,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.52 : 18,858 = 8,078.56 : x
  2. Step 2: Convert to fraction form
    13,671.52/18,858 = 8,078.56/x
  3. Step 3: Cross multiply
    13,671.52x = 18,858 × 8,078.56
  4. Step 4: Simplify right side
    13,671.52x = 152,345,484.48
  5. Step 5: Solve for x
    x = 152,345,484.48/13,671.52
  6. Step 6: Final answer
    x = 11,143.27

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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.