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Finding the Fourth Proportional to 12,019.88, 16,586.42 and 6,982.48

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Solution

The fourth proportional to 12,019.88, 16,586.42 and 6,982.48 is: 9,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.88 : 16,586.42 = 6,982.48 : x
  2. Step 2: Convert to fraction form
    12,019.88/16,586.42 = 6,982.48/x
  3. Step 3: Cross multiply
    12,019.88x = 16,586.42 × 6,982.48
  4. Step 4: Simplify right side
    12,019.88x = 115,814,345.92
  5. Step 5: Solve for x
    x = 115,814,345.92/12,019.88
  6. Step 6: Final answer
    x = 9,635.23

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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.