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Finding the Fourth Proportional to 3,098.04, 4,646.98 and 789.54

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Solution

The fourth proportional to 3,098.04, 4,646.98 and 789.54 is: 1,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.04 : 4,646.98 = 789.54 : x
  2. Step 2: Convert to fraction form
    3,098.04/4,646.98 = 789.54/x
  3. Step 3: Cross multiply
    3,098.04x = 4,646.98 × 789.54
  4. Step 4: Simplify right side
    3,098.04x = 3,668,976.59
  5. Step 5: Solve for x
    x = 3,668,976.59/3,098.04
  6. Step 6: Final answer
    x = 1,184.29

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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.