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Finding the Fourth Proportional to 4,543.99, 6,816.13 and 1,257.11

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Solution

The fourth proportional to 4,543.99, 6,816.13 and 1,257.11 is: 1,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.99 : 6,816.13 = 1,257.11 : x
  2. Step 2: Convert to fraction form
    4,543.99/6,816.13 = 1,257.11/x
  3. Step 3: Cross multiply
    4,543.99x = 6,816.13 × 1,257.11
  4. Step 4: Simplify right side
    4,543.99x = 8,568,625.18
  5. Step 5: Solve for x
    x = 8,568,625.18/4,543.99
  6. Step 6: Final answer
    x = 1,885.71

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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.