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Finding the Fourth Proportional to 12,984.60, 17,912.49 and 8,506.38

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Solution

The fourth proportional to 12,984.60, 17,912.49 and 8,506.38 is: 11,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.60 : 17,912.49 = 8,506.38 : x
  2. Step 2: Convert to fraction form
    12,984.60/17,912.49 = 8,506.38/x
  3. Step 3: Cross multiply
    12,984.60x = 17,912.49 × 8,506.38
  4. Step 4: Simplify right side
    12,984.60x = 152,370,446.69
  5. Step 5: Solve for x
    x = 152,370,446.69/12,984.60
  6. Step 6: Final answer
    x = 11,734.70

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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.