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Finding the Fourth Proportional to 6,646.38, 9,964.20 and 3,684.74

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Solution

The fourth proportional to 6,646.38, 9,964.20 and 3,684.74 is: 5,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.38 : 9,964.20 = 3,684.74 : x
  2. Step 2: Convert to fraction form
    6,646.38/9,964.20 = 3,684.74/x
  3. Step 3: Cross multiply
    6,646.38x = 9,964.20 × 3,684.74
  4. Step 4: Simplify right side
    6,646.38x = 36,715,486.31
  5. Step 5: Solve for x
    x = 36,715,486.31/6,646.38
  6. Step 6: Final answer
    x = 5,524.13

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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.