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Finding the Fourth Proportional to 6,491.40, 9,722.70 and 3,409.80

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Solution

The fourth proportional to 6,491.40, 9,722.70 and 3,409.80 is: 5,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.40 : 9,722.70 = 3,409.80 : x
  2. Step 2: Convert to fraction form
    6,491.40/9,722.70 = 3,409.80/x
  3. Step 3: Cross multiply
    6,491.40x = 9,722.70 × 3,409.80
  4. Step 4: Simplify right side
    6,491.40x = 33,152,462.46
  5. Step 5: Solve for x
    x = 33,152,462.46/6,491.40
  6. Step 6: Final answer
    x = 5,107.14

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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.