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Finding the Fourth Proportional to 6,661.29, 9,974.85 and 6,464.20

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Solution

The fourth proportional to 6,661.29, 9,974.85 and 6,464.20 is: 9,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.29 : 9,974.85 = 6,464.20 : x
  2. Step 2: Convert to fraction form
    6,661.29/9,974.85 = 6,464.20/x
  3. Step 3: Cross multiply
    6,661.29x = 9,974.85 × 6,464.20
  4. Step 4: Simplify right side
    6,661.29x = 64,479,425.37
  5. Step 5: Solve for x
    x = 64,479,425.37/6,661.29
  6. Step 6: Final answer
    x = 9,679.72

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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.