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Finding the Fourth Proportional to 1,800.86, 2,698.05 and 1,674.50

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Solution

The fourth proportional to 1,800.86, 2,698.05 and 1,674.50 is: 2,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.86 : 2,698.05 = 1,674.50 : x
  2. Step 2: Convert to fraction form
    1,800.86/2,698.05 = 1,674.50/x
  3. Step 3: Cross multiply
    1,800.86x = 2,698.05 × 1,674.50
  4. Step 4: Simplify right side
    1,800.86x = 4,517,884.73
  5. Step 5: Solve for x
    x = 4,517,884.73/1,800.86
  6. Step 6: Final answer
    x = 2,508.74

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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.