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Finding the Fourth Proportional to 14,978.10, 20,669.62 and 8,263.86

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Solution

The fourth proportional to 14,978.10, 20,669.62 and 8,263.86 is: 11,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.10 : 20,669.62 = 8,263.86 : x
  2. Step 2: Convert to fraction form
    14,978.10/20,669.62 = 8,263.86/x
  3. Step 3: Cross multiply
    14,978.10x = 20,669.62 × 8,263.86
  4. Step 4: Simplify right side
    14,978.10x = 170,810,845.93
  5. Step 5: Solve for x
    x = 170,810,845.93/14,978.10
  6. Step 6: Final answer
    x = 11,404.04

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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.