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Finding the Fourth Proportional to 6,684.88, 10,018.68 and 3,758.80

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Solution

The fourth proportional to 6,684.88, 10,018.68 and 3,758.80 is: 5,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.88 : 10,018.68 = 3,758.80 : x
  2. Step 2: Convert to fraction form
    6,684.88/10,018.68 = 3,758.80/x
  3. Step 3: Cross multiply
    6,684.88x = 10,018.68 × 3,758.80
  4. Step 4: Simplify right side
    6,684.88x = 37,658,214.38
  5. Step 5: Solve for x
    x = 37,658,214.38/6,684.88
  6. Step 6: Final answer
    x = 5,633.34

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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.