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Finding the Fourth Proportional to 12,671.92, 18,989.33 and 7,136.06

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Solution

The fourth proportional to 12,671.92, 18,989.33 and 7,136.06 is: 10,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.92 : 18,989.33 = 7,136.06 : x
  2. Step 2: Convert to fraction form
    12,671.92/18,989.33 = 7,136.06/x
  3. Step 3: Cross multiply
    12,671.92x = 18,989.33 × 7,136.06
  4. Step 4: Simplify right side
    12,671.92x = 135,508,998.24
  5. Step 5: Solve for x
    x = 135,508,998.24/12,671.92
  6. Step 6: Final answer
    x = 10,693.64

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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.