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Finding the Fourth Proportional to 6,505.58, 9,760.17 and 2,122.49

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Solution

The fourth proportional to 6,505.58, 9,760.17 and 2,122.49 is: 3,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.58 : 9,760.17 = 2,122.49 : x
  2. Step 2: Convert to fraction form
    6,505.58/9,760.17 = 2,122.49/x
  3. Step 3: Cross multiply
    6,505.58x = 9,760.17 × 2,122.49
  4. Step 4: Simplify right side
    6,505.58x = 20,715,863.22
  5. Step 5: Solve for x
    x = 20,715,863.22/6,505.58
  6. Step 6: Final answer
    x = 3,184.32

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1.5x scale

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.