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Finding the Fourth Proportional to 4,689.42, 7,034.22 and 1,767.12

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Solution

The fourth proportional to 4,689.42, 7,034.22 and 1,767.12 is: 2,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.42 : 7,034.22 = 1,767.12 : x
  2. Step 2: Convert to fraction form
    4,689.42/7,034.22 = 1,767.12/x
  3. Step 3: Cross multiply
    4,689.42x = 7,034.22 × 1,767.12
  4. Step 4: Simplify right side
    4,689.42x = 12,430,310.85
  5. Step 5: Solve for x
    x = 12,430,310.85/4,689.42
  6. Step 6: Final answer
    x = 2,650.71

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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.