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Finding the Fourth Proportional to 3,074.69, 4,612.10 and 1,100.61

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Solution

The fourth proportional to 3,074.69, 4,612.10 and 1,100.61 is: 1,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.69 : 4,612.10 = 1,100.61 : x
  2. Step 2: Convert to fraction form
    3,074.69/4,612.10 = 1,100.61/x
  3. Step 3: Cross multiply
    3,074.69x = 4,612.10 × 1,100.61
  4. Step 4: Simplify right side
    3,074.69x = 5,076,117.88
  5. Step 5: Solve for x
    x = 5,076,117.88/3,074.69
  6. Step 6: Final answer
    x = 1,650.94

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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.