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Finding the Fourth Proportional to 13,643.51, 20,473.12 and 5,745.41

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Solution

The fourth proportional to 13,643.51, 20,473.12 and 5,745.41 is: 8,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.51 : 20,473.12 = 5,745.41 : x
  2. Step 2: Convert to fraction form
    13,643.51/20,473.12 = 5,745.41/x
  3. Step 3: Cross multiply
    13,643.51x = 20,473.12 × 5,745.41
  4. Step 4: Simplify right side
    13,643.51x = 117,626,468.38
  5. Step 5: Solve for x
    x = 117,626,468.38/13,643.51
  6. Step 6: Final answer
    x = 8,621.42

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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.