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Finding the Fourth Proportional to 13,645.44, 20,468.16 and 4,412.16

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Solution

The fourth proportional to 13,645.44, 20,468.16 and 4,412.16 is: 6,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.44 : 20,468.16 = 4,412.16 : x
  2. Step 2: Convert to fraction form
    13,645.44/20,468.16 = 4,412.16/x
  3. Step 3: Cross multiply
    13,645.44x = 20,468.16 × 4,412.16
  4. Step 4: Simplify right side
    13,645.44x = 90,308,796.83
  5. Step 5: Solve for x
    x = 90,308,796.83/13,645.44
  6. Step 6: Final answer
    x = 6,618.24

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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.