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Finding the Fourth Proportional to 5,431.95, 8,147.97 and 2,839.95

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Solution

The fourth proportional to 5,431.95, 8,147.97 and 2,839.95 is: 4,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.95 : 8,147.97 = 2,839.95 : x
  2. Step 2: Convert to fraction form
    5,431.95/8,147.97 = 2,839.95/x
  3. Step 3: Cross multiply
    5,431.95x = 8,147.97 × 2,839.95
  4. Step 4: Simplify right side
    5,431.95x = 23,139,827.40
  5. Step 5: Solve for x
    x = 23,139,827.40/5,431.95
  6. Step 6: Final answer
    x = 4,259.95

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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.