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Finding the Fourth Proportional to 5,409.54, 8,109.18 and 1,709.22

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Solution

The fourth proportional to 5,409.54, 8,109.18 and 1,709.22 is: 2,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.54 : 8,109.18 = 1,709.22 : x
  2. Step 2: Convert to fraction form
    5,409.54/8,109.18 = 1,709.22/x
  3. Step 3: Cross multiply
    5,409.54x = 8,109.18 × 1,709.22
  4. Step 4: Simplify right side
    5,409.54x = 13,860,372.64
  5. Step 5: Solve for x
    x = 13,860,372.64/5,409.54
  6. Step 6: Final answer
    x = 2,562.21

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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.