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Finding the Fourth Proportional to 5,409.54, 8,115.53 and 1,711.99

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Solution

The fourth proportional to 5,409.54, 8,115.53 and 1,711.99 is: 2,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.54 : 8,115.53 = 1,711.99 : x
  2. Step 2: Convert to fraction form
    5,409.54/8,115.53 = 1,711.99/x
  3. Step 3: Cross multiply
    5,409.54x = 8,115.53 × 1,711.99
  4. Step 4: Simplify right side
    5,409.54x = 13,893,706.20
  5. Step 5: Solve for x
    x = 13,893,706.20/5,409.54
  6. Step 6: Final answer
    x = 2,568.37

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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.