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Finding the Fourth Proportional to 5,919, 8,169.30 and 3,435

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Solution

The fourth proportional to 5,919, 8,169.30 and 3,435 is: 4,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919 : 8,169.30 = 3,435 : x
  2. Step 2: Convert to fraction form
    5,919/8,169.30 = 3,435/x
  3. Step 3: Cross multiply
    5,919x = 8,169.30 × 3,435
  4. Step 4: Simplify right side
    5,919x = 28,061,545.50
  5. Step 5: Solve for x
    x = 28,061,545.50/5,919
  6. Step 6: Final answer
    x = 4,740.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.