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Finding the Fourth Proportional to 13,745.31, 18,969.84 and 8,367.32

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Solution

The fourth proportional to 13,745.31, 18,969.84 and 8,367.32 is: 11,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.31 : 18,969.84 = 8,367.32 : x
  2. Step 2: Convert to fraction form
    13,745.31/18,969.84 = 8,367.32/x
  3. Step 3: Cross multiply
    13,745.31x = 18,969.84 × 8,367.32
  4. Step 4: Simplify right side
    13,745.31x = 158,726,626.78
  5. Step 5: Solve for x
    x = 158,726,626.78/13,745.31
  6. Step 6: Final answer
    x = 11,547.69

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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.