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Finding the Fourth Proportional to 13,076.70, 19,616.08 and 7,847.34

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Solution

The fourth proportional to 13,076.70, 19,616.08 and 7,847.34 is: 11,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.70 : 19,616.08 = 7,847.34 : x
  2. Step 2: Convert to fraction form
    13,076.70/19,616.08 = 7,847.34/x
  3. Step 3: Cross multiply
    13,076.70x = 19,616.08 × 7,847.34
  4. Step 4: Simplify right side
    13,076.70x = 153,934,049.23
  5. Step 5: Solve for x
    x = 153,934,049.23/13,076.70
  6. Step 6: Final answer
    x = 11,771.63

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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.