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Finding the Fourth Proportional to 5,781, 8,010.75 and 5,429.87

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Solution

The fourth proportional to 5,781, 8,010.75 and 5,429.87 is: 7,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 8,010.75 = 5,429.87 : x
  2. Step 2: Convert to fraction form
    5,781/8,010.75 = 5,429.87/x
  3. Step 3: Cross multiply
    5,781x = 8,010.75 × 5,429.87
  4. Step 4: Simplify right side
    5,781x = 43,497,291.05
  5. Step 5: Solve for x
    x = 43,497,291.05/5,781
  6. Step 6: Final answer
    x = 7,524.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.