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Finding the Fourth Proportional to 4,190, 5,782.32 and 2,327.12

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Solution

The fourth proportional to 4,190, 5,782.32 and 2,327.12 is: 3,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 5,782.32 = 2,327.12 : x
  2. Step 2: Convert to fraction form
    4,190/5,782.32 = 2,327.12/x
  3. Step 3: Cross multiply
    4,190x = 5,782.32 × 2,327.12
  4. Step 4: Simplify right side
    4,190x = 13,456,152.52
  5. Step 5: Solve for x
    x = 13,456,152.52/4,190
  6. Step 6: Final answer
    x = 3,211.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.