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Finding the Fourth Proportional to 14,046.45, 19,384.11 and 8,078

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Solution

The fourth proportional to 14,046.45, 19,384.11 and 8,078 is: 11,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.45 : 19,384.11 = 8,078 : x
  2. Step 2: Convert to fraction form
    14,046.45/19,384.11 = 8,078/x
  3. Step 3: Cross multiply
    14,046.45x = 19,384.11 × 8,078
  4. Step 4: Simplify right side
    14,046.45x = 156,584,840.58
  5. Step 5: Solve for x
    x = 156,584,840.58/14,046.45
  6. Step 6: Final answer
    x = 11,147.65

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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.