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Finding the Fourth Proportional to 12,643.85, 17,444.74 and 8,163.51

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Solution

The fourth proportional to 12,643.85, 17,444.74 and 8,163.51 is: 11,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.85 : 17,444.74 = 8,163.51 : x
  2. Step 2: Convert to fraction form
    12,643.85/17,444.74 = 8,163.51/x
  3. Step 3: Cross multiply
    12,643.85x = 17,444.74 × 8,163.51
  4. Step 4: Simplify right side
    12,643.85x = 142,410,309.44
  5. Step 5: Solve for x
    x = 142,410,309.44/12,643.85
  6. Step 6: Final answer
    x = 11,263.21

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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.