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Finding the Fourth Proportional to 13,762.40, 20,600.40 and 10,824.80

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Solution

The fourth proportional to 13,762.40, 20,600.40 and 10,824.80 is: 16,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.40 : 20,600.40 = 10,824.80 : x
  2. Step 2: Convert to fraction form
    13,762.40/20,600.40 = 10,824.80/x
  3. Step 3: Cross multiply
    13,762.40x = 20,600.40 × 10,824.80
  4. Step 4: Simplify right side
    13,762.40x = 222,995,209.92
  5. Step 5: Solve for x
    x = 222,995,209.92/13,762.40
  6. Step 6: Final answer
    x = 16,203.22

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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.