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Finding the Fourth Proportional to 5,409.89, 8,115.98 and 1,900.43

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Solution

The fourth proportional to 5,409.89, 8,115.98 and 1,900.43 is: 2,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.89 : 8,115.98 = 1,900.43 : x
  2. Step 2: Convert to fraction form
    5,409.89/8,115.98 = 1,900.43/x
  3. Step 3: Cross multiply
    5,409.89x = 8,115.98 × 1,900.43
  4. Step 4: Simplify right side
    5,409.89x = 15,423,851.87
  5. Step 5: Solve for x
    x = 15,423,851.87/5,409.89
  6. Step 6: Final answer
    x = 2,851.05

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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.