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Finding the Fourth Proportional to 3,098.40, 4,647.18 and 789.90

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Solution

The fourth proportional to 3,098.40, 4,647.18 and 789.90 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.40 : 4,647.18 = 789.90 : x
  2. Step 2: Convert to fraction form
    3,098.40/4,647.18 = 789.90/x
  3. Step 3: Cross multiply
    3,098.40x = 4,647.18 × 789.90
  4. Step 4: Simplify right side
    3,098.40x = 3,670,807.48
  5. Step 5: Solve for x
    x = 3,670,807.48/3,098.40
  6. Step 6: Final answer
    x = 1,184.74

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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.