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Finding the Fourth Proportional to 6,519, 8,996.31 and 3,724.50

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Solution

The fourth proportional to 6,519, 8,996.31 and 3,724.50 is: 5,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519 : 8,996.31 = 3,724.50 : x
  2. Step 2: Convert to fraction form
    6,519/8,996.31 = 3,724.50/x
  3. Step 3: Cross multiply
    6,519x = 8,996.31 × 3,724.50
  4. Step 4: Simplify right side
    6,519x = 33,506,756.60
  5. Step 5: Solve for x
    x = 33,506,756.60/6,519
  6. Step 6: Final answer
    x = 5,139.86

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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.