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Finding the Fourth Proportional to 5,165.25, 7,744.77 and 1,877.19

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Solution

The fourth proportional to 5,165.25, 7,744.77 and 1,877.19 is: 2,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.25 : 7,744.77 = 1,877.19 : x
  2. Step 2: Convert to fraction form
    5,165.25/7,744.77 = 1,877.19/x
  3. Step 3: Cross multiply
    5,165.25x = 7,744.77 × 1,877.19
  4. Step 4: Simplify right side
    5,165.25x = 14,538,404.80
  5. Step 5: Solve for x
    x = 14,538,404.80/5,165.25
  6. Step 6: Final answer
    x = 2,814.66

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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.