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Finding the Fourth Proportional to 12,643.34, 17,447.78 and 6,978.44

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Solution

The fourth proportional to 12,643.34, 17,447.78 and 6,978.44 is: 9,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.34 : 17,447.78 = 6,978.44 : x
  2. Step 2: Convert to fraction form
    12,643.34/17,447.78 = 6,978.44/x
  3. Step 3: Cross multiply
    12,643.34x = 17,447.78 × 6,978.44
  4. Step 4: Simplify right side
    12,643.34x = 121,758,163.73
  5. Step 5: Solve for x
    x = 121,758,163.73/12,643.34
  6. Step 6: Final answer
    x = 9,630.23

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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.