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Finding the Fourth Proportional to 13,614.40, 18,786.72 and 7,645.60

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Solution

The fourth proportional to 13,614.40, 18,786.72 and 7,645.60 is: 10,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.40 : 18,786.72 = 7,645.60 : x
  2. Step 2: Convert to fraction form
    13,614.40/18,786.72 = 7,645.60/x
  3. Step 3: Cross multiply
    13,614.40x = 18,786.72 × 7,645.60
  4. Step 4: Simplify right side
    13,614.40x = 143,635,746.43
  5. Step 5: Solve for x
    x = 143,635,746.43/13,614.40
  6. Step 6: Final answer
    x = 10,550.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.