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Finding the Fourth Proportional to 3,098.54, 4,648.62 and 1,798.76

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Solution

The fourth proportional to 3,098.54, 4,648.62 and 1,798.76 is: 2,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.54 : 4,648.62 = 1,798.76 : x
  2. Step 2: Convert to fraction form
    3,098.54/4,648.62 = 1,798.76/x
  3. Step 3: Cross multiply
    3,098.54x = 4,648.62 × 1,798.76
  4. Step 4: Simplify right side
    3,098.54x = 8,361,751.71
  5. Step 5: Solve for x
    x = 8,361,751.71/3,098.54
  6. Step 6: Final answer
    x = 2,698.61

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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.