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Finding the Fourth Proportional to 16,814.86, 25,218.23 and 7,449.70

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Solution

The fourth proportional to 16,814.86, 25,218.23 and 7,449.70 is: 11,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.86 : 25,218.23 = 7,449.70 : x
  2. Step 2: Convert to fraction form
    16,814.86/25,218.23 = 7,449.70/x
  3. Step 3: Cross multiply
    16,814.86x = 25,218.23 × 7,449.70
  4. Step 4: Simplify right side
    16,814.86x = 187,868,248.03
  5. Step 5: Solve for x
    x = 187,868,248.03/16,814.86
  6. Step 6: Final answer
    x = 11,172.75

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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.