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Finding the Fourth Proportional to 5,161.95, 7,743.05 and 1,266.39

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Solution

The fourth proportional to 5,161.95, 7,743.05 and 1,266.39 is: 1,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.95 : 7,743.05 = 1,266.39 : x
  2. Step 2: Convert to fraction form
    5,161.95/7,743.05 = 1,266.39/x
  3. Step 3: Cross multiply
    5,161.95x = 7,743.05 × 1,266.39
  4. Step 4: Simplify right side
    5,161.95x = 9,805,714.76
  5. Step 5: Solve for x
    x = 9,805,714.76/5,161.95
  6. Step 6: Final answer
    x = 1,899.61

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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.