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Finding the Fourth Proportional to 12,969.64, 19,331.06 and 12,231.46

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Solution

The fourth proportional to 12,969.64, 19,331.06 and 12,231.46 is: 18,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.64 : 19,331.06 = 12,231.46 : x
  2. Step 2: Convert to fraction form
    12,969.64/19,331.06 = 12,231.46/x
  3. Step 3: Cross multiply
    12,969.64x = 19,331.06 × 12,231.46
  4. Step 4: Simplify right side
    12,969.64x = 236,447,087.15
  5. Step 5: Solve for x
    x = 236,447,087.15/12,969.64
  6. Step 6: Final answer
    x = 18,230.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.