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Finding the Fourth Proportional to 8,133.40, 12,200.70 and 2,938.60

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Solution

The fourth proportional to 8,133.40, 12,200.70 and 2,938.60 is: 4,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.40 : 12,200.70 = 2,938.60 : x
  2. Step 2: Convert to fraction form
    8,133.40/12,200.70 = 2,938.60/x
  3. Step 3: Cross multiply
    8,133.40x = 12,200.70 × 2,938.60
  4. Step 4: Simplify right side
    8,133.40x = 35,852,977.02
  5. Step 5: Solve for x
    x = 35,852,977.02/8,133.40
  6. Step 6: Final answer
    x = 4,408.12

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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.