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Finding the Fourth Proportional to 2,550.96, 3,520.50 and 1,416.69

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Solution

The fourth proportional to 2,550.96, 3,520.50 and 1,416.69 is: 1,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.96 : 3,520.50 = 1,416.69 : x
  2. Step 2: Convert to fraction form
    2,550.96/3,520.50 = 1,416.69/x
  3. Step 3: Cross multiply
    2,550.96x = 3,520.50 × 1,416.69
  4. Step 4: Simplify right side
    2,550.96x = 4,987,451.83
  5. Step 5: Solve for x
    x = 4,987,451.83/2,550.96
  6. Step 6: Final answer
    x = 1,955.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.