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Finding the Fourth Proportional to 6,503.88, 9,756.36 and 2,121.24

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Solution

The fourth proportional to 6,503.88, 9,756.36 and 2,121.24 is: 3,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.88 : 9,756.36 = 2,121.24 : x
  2. Step 2: Convert to fraction form
    6,503.88/9,756.36 = 2,121.24/x
  3. Step 3: Cross multiply
    6,503.88x = 9,756.36 × 2,121.24
  4. Step 4: Simplify right side
    6,503.88x = 20,695,581.09
  5. Step 5: Solve for x
    x = 20,695,581.09/6,503.88
  6. Step 6: Final answer
    x = 3,182.04

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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.