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Finding the Fourth Proportional to 6,503.58, 9,757.17 and 2,120.49

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Solution

The fourth proportional to 6,503.58, 9,757.17 and 2,120.49 is: 3,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.58 : 9,757.17 = 2,120.49 : x
  2. Step 2: Convert to fraction form
    6,503.58/9,757.17 = 2,120.49/x
  3. Step 3: Cross multiply
    6,503.58x = 9,757.17 × 2,120.49
  4. Step 4: Simplify right side
    6,503.58x = 20,689,981.41
  5. Step 5: Solve for x
    x = 20,689,981.41/6,503.58
  6. Step 6: Final answer
    x = 3,181.32

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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.