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Finding the Fourth Proportional to 6,505.32, 9,759 and 2,121.77

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Solution

The fourth proportional to 6,505.32, 9,759 and 2,121.77 is: 3,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.32 : 9,759 = 2,121.77 : x
  2. Step 2: Convert to fraction form
    6,505.32/9,759 = 2,121.77/x
  3. Step 3: Cross multiply
    6,505.32x = 9,759 × 2,121.77
  4. Step 4: Simplify right side
    6,505.32x = 20,706,304.64
  5. Step 5: Solve for x
    x = 20,706,304.64/6,505.32
  6. Step 6: Final answer
    x = 3,182.98

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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.