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Finding the Fourth Proportional to 3,409, 5,114.70 and 1,678.84

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Solution

The fourth proportional to 3,409, 5,114.70 and 1,678.84 is: 2,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 5,114.70 = 1,678.84 : x
  2. Step 2: Convert to fraction form
    3,409/5,114.70 = 1,678.84/x
  3. Step 3: Cross multiply
    3,409x = 5,114.70 × 1,678.84
  4. Step 4: Simplify right side
    3,409x = 8,586,762.95
  5. Step 5: Solve for x
    x = 8,586,762.95/3,409
  6. Step 6: Final answer
    x = 2,518.85

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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.