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Finding the Fourth Proportional to 4,543.56, 6,814.50 and 1,256.22

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Solution

The fourth proportional to 4,543.56, 6,814.50 and 1,256.22 is: 1,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.56 : 6,814.50 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    4,543.56/6,814.50 = 1,256.22/x
  3. Step 3: Cross multiply
    4,543.56x = 6,814.50 × 1,256.22
  4. Step 4: Simplify right side
    4,543.56x = 8,560,511.19
  5. Step 5: Solve for x
    x = 8,560,511.19/4,543.56
  6. Step 6: Final answer
    x = 1,884.10

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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.