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Finding the Fourth Proportional to 5,409.34, 8,115.99 and 1,899.61

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Solution

The fourth proportional to 5,409.34, 8,115.99 and 1,899.61 is: 2,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.34 : 8,115.99 = 1,899.61 : x
  2. Step 2: Convert to fraction form
    5,409.34/8,115.99 = 1,899.61/x
  3. Step 3: Cross multiply
    5,409.34x = 8,115.99 × 1,899.61
  4. Step 4: Simplify right side
    5,409.34x = 15,417,215.76
  5. Step 5: Solve for x
    x = 15,417,215.76/5,409.34
  6. Step 6: Final answer
    x = 2,850.11

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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.