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Finding the Fourth Proportional to 13,616.40, 20,408.40 and 7,039.20

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Solution

The fourth proportional to 13,616.40, 20,408.40 and 7,039.20 is: 10,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.40 : 20,408.40 = 7,039.20 : x
  2. Step 2: Convert to fraction form
    13,616.40/20,408.40 = 7,039.20/x
  3. Step 3: Cross multiply
    13,616.40x = 20,408.40 × 7,039.20
  4. Step 4: Simplify right side
    13,616.40x = 143,658,809.28
  5. Step 5: Solve for x
    x = 143,658,809.28/13,616.40
  6. Step 6: Final answer
    x = 10,550.43

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1.5x scale

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.