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Finding the Fourth Proportional to 8,190, 12,274.38 and 4,674.60

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Solution

The fourth proportional to 8,190, 12,274.38 and 4,674.60 is: 7,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190 : 12,274.38 = 4,674.60 : x
  2. Step 2: Convert to fraction form
    8,190/12,274.38 = 4,674.60/x
  3. Step 3: Cross multiply
    8,190x = 12,274.38 × 4,674.60
  4. Step 4: Simplify right side
    8,190x = 57,377,816.75
  5. Step 5: Solve for x
    x = 57,377,816.75/8,190
  6. Step 6: Final answer
    x = 7,005.84

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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.