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Finding the Fourth Proportional to 14,702, 20,288.76 and 8,078

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Solution

The fourth proportional to 14,702, 20,288.76 and 8,078 is: 11,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702 : 20,288.76 = 8,078 : x
  2. Step 2: Convert to fraction form
    14,702/20,288.76 = 8,078/x
  3. Step 3: Cross multiply
    14,702x = 20,288.76 × 8,078
  4. Step 4: Simplify right side
    14,702x = 163,892,603.28
  5. Step 5: Solve for x
    x = 163,892,603.28/14,702
  6. Step 6: Final answer
    x = 11,147.64

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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.