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Finding the Fourth Proportional to 6,503.76, 9,753.54 and 2,120.04

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Solution

The fourth proportional to 6,503.76, 9,753.54 and 2,120.04 is: 3,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.76 : 9,753.54 = 2,120.04 : x
  2. Step 2: Convert to fraction form
    6,503.76/9,753.54 = 2,120.04/x
  3. Step 3: Cross multiply
    6,503.76x = 9,753.54 × 2,120.04
  4. Step 4: Simplify right side
    6,503.76x = 20,677,894.94
  5. Step 5: Solve for x
    x = 20,677,894.94/6,503.76
  6. Step 6: Final answer
    x = 3,179.38

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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.