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Finding the Fourth Proportional to 2,545.59, 3,814.74 and 1,447.64

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Solution

The fourth proportional to 2,545.59, 3,814.74 and 1,447.64 is: 2,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.59 : 3,814.74 = 1,447.64 : x
  2. Step 2: Convert to fraction form
    2,545.59/3,814.74 = 1,447.64/x
  3. Step 3: Cross multiply
    2,545.59x = 3,814.74 × 1,447.64
  4. Step 4: Simplify right side
    2,545.59x = 5,522,370.21
  5. Step 5: Solve for x
    x = 5,522,370.21/2,545.59
  6. Step 6: Final answer
    x = 2,169.39

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1.5x scale

Why These Related Problems?

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