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Finding the Fourth Proportional to 12,706.94, 19,027.59 and 8,770.34

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Solution

The fourth proportional to 12,706.94, 19,027.59 and 8,770.34 is: 13,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.94 : 19,027.59 = 8,770.34 : x
  2. Step 2: Convert to fraction form
    12,706.94/19,027.59 = 8,770.34/x
  3. Step 3: Cross multiply
    12,706.94x = 19,027.59 × 8,770.34
  4. Step 4: Simplify right side
    12,706.94x = 166,878,433.68
  5. Step 5: Solve for x
    x = 166,878,433.68/12,706.94
  6. Step 6: Final answer
    x = 13,132.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.