Home / 13,378.36-20,069.16-6,448

Finding the Fourth Proportional to 13,378.36, 20,069.16 and 6,448

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Solution

The fourth proportional to 13,378.36, 20,069.16 and 6,448 is: 9,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.36 : 20,069.16 = 6,448 : x
  2. Step 2: Convert to fraction form
    13,378.36/20,069.16 = 6,448/x
  3. Step 3: Cross multiply
    13,378.36x = 20,069.16 × 6,448
  4. Step 4: Simplify right side
    13,378.36x = 129,405,943.68
  5. Step 5: Solve for x
    x = 129,405,943.68/13,378.36
  6. Step 6: Final answer
    x = 9,672.78

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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.