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Finding the Fourth Proportional to 8,142.16, 12,188.94 and 8,002.84

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Solution

The fourth proportional to 8,142.16, 12,188.94 and 8,002.84 is: 11,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.16 : 12,188.94 = 8,002.84 : x
  2. Step 2: Convert to fraction form
    8,142.16/12,188.94 = 8,002.84/x
  3. Step 3: Cross multiply
    8,142.16x = 12,188.94 × 8,002.84
  4. Step 4: Simplify right side
    8,142.16x = 97,546,136.59
  5. Step 5: Solve for x
    x = 97,546,136.59/8,142.16
  6. Step 6: Final answer
    x = 11,980.38

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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.