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Finding the Fourth Proportional to 14,064.86, 21,092.12 and 4,200.78

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Solution

The fourth proportional to 14,064.86, 21,092.12 and 4,200.78 is: 6,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.86 : 21,092.12 = 4,200.78 : x
  2. Step 2: Convert to fraction form
    14,064.86/21,092.12 = 4,200.78/x
  3. Step 3: Cross multiply
    14,064.86x = 21,092.12 × 4,200.78
  4. Step 4: Simplify right side
    14,064.86x = 88,603,334.85
  5. Step 5: Solve for x
    x = 88,603,334.85/14,064.86
  6. Step 6: Final answer
    x = 6,299.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.