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Finding the Fourth Proportional to 5,359, 8,040.42 and 3,895.60

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Solution

The fourth proportional to 5,359, 8,040.42 and 3,895.60 is: 5,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359 : 8,040.42 = 3,895.60 : x
  2. Step 2: Convert to fraction form
    5,359/8,040.42 = 3,895.60/x
  3. Step 3: Cross multiply
    5,359x = 8,040.42 × 3,895.60
  4. Step 4: Simplify right side
    5,359x = 31,322,260.15
  5. Step 5: Solve for x
    x = 31,322,260.15/5,359
  6. Step 6: Final answer
    x = 5,844.80

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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.