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Finding the Fourth Proportional to 4,071.72, 6,107.70 and 1,149.72

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Solution

The fourth proportional to 4,071.72, 6,107.70 and 1,149.72 is: 1,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.72 : 6,107.70 = 1,149.72 : x
  2. Step 2: Convert to fraction form
    4,071.72/6,107.70 = 1,149.72/x
  3. Step 3: Cross multiply
    4,071.72x = 6,107.70 × 1,149.72
  4. Step 4: Simplify right side
    4,071.72x = 7,022,144.84
  5. Step 5: Solve for x
    x = 7,022,144.84/4,071.72
  6. Step 6: Final answer
    x = 1,724.61

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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.