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Finding the Fourth Proportional to 4,543.17, 6,814 and 1,255.51

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Solution

The fourth proportional to 4,543.17, 6,814 and 1,255.51 is: 1,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.17 : 6,814 = 1,255.51 : x
  2. Step 2: Convert to fraction form
    4,543.17/6,814 = 1,255.51/x
  3. Step 3: Cross multiply
    4,543.17x = 6,814 × 1,255.51
  4. Step 4: Simplify right side
    4,543.17x = 8,555,045.14
  5. Step 5: Solve for x
    x = 8,555,045.14/4,543.17
  6. Step 6: Final answer
    x = 1,883.06

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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.