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Finding the Fourth Proportional to 3,166.72, 4,751.36 and 1,114.88

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Solution

The fourth proportional to 3,166.72, 4,751.36 and 1,114.88 is: 1,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.72 : 4,751.36 = 1,114.88 : x
  2. Step 2: Convert to fraction form
    3,166.72/4,751.36 = 1,114.88/x
  3. Step 3: Cross multiply
    3,166.72x = 4,751.36 × 1,114.88
  4. Step 4: Simplify right side
    3,166.72x = 5,297,196.24
  5. Step 5: Solve for x
    x = 5,297,196.24/3,166.72
  6. Step 6: Final answer
    x = 1,672.77

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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.