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Finding the Fourth Proportional to 5,409.84, 8,109 and 3,866.16

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Solution

The fourth proportional to 5,409.84, 8,109 and 3,866.16 is: 5,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.84 : 8,109 = 3,866.16 : x
  2. Step 2: Convert to fraction form
    5,409.84/8,109 = 3,866.16/x
  3. Step 3: Cross multiply
    5,409.84x = 8,109 × 3,866.16
  4. Step 4: Simplify right side
    5,409.84x = 31,350,691.44
  5. Step 5: Solve for x
    x = 31,350,691.44/5,409.84
  6. Step 6: Final answer
    x = 5,795.12

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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.