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Finding the Fourth Proportional to 12,471.36, 17,211.36 and 7,994.88

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Solution

The fourth proportional to 12,471.36, 17,211.36 and 7,994.88 is: 11,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.36 : 17,211.36 = 7,994.88 : x
  2. Step 2: Convert to fraction form
    12,471.36/17,211.36 = 7,994.88/x
  3. Step 3: Cross multiply
    12,471.36x = 17,211.36 × 7,994.88
  4. Step 4: Simplify right side
    12,471.36x = 137,602,757.84
  5. Step 5: Solve for x
    x = 137,602,757.84/12,471.36
  6. Step 6: Final answer
    x = 11,033.50

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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.