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Finding the Fourth Proportional to 5,760, 8,642.03 and 2,840.36

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Solution

The fourth proportional to 5,760, 8,642.03 and 2,840.36 is: 4,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 8,642.03 = 2,840.36 : x
  2. Step 2: Convert to fraction form
    5,760/8,642.03 = 2,840.36/x
  3. Step 3: Cross multiply
    5,760x = 8,642.03 × 2,840.36
  4. Step 4: Simplify right side
    5,760x = 24,546,418.92
  5. Step 5: Solve for x
    x = 24,546,418.92/5,760
  6. Step 6: Final answer
    x = 4,261.53

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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.