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Finding the Fourth Proportional to 8,270.40, 12,410.40 and 3,076.80

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Solution

The fourth proportional to 8,270.40, 12,410.40 and 3,076.80 is: 4,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.40 : 12,410.40 = 3,076.80 : x
  2. Step 2: Convert to fraction form
    8,270.40/12,410.40 = 3,076.80/x
  3. Step 3: Cross multiply
    8,270.40x = 12,410.40 × 3,076.80
  4. Step 4: Simplify right side
    8,270.40x = 38,184,318.72
  5. Step 5: Solve for x
    x = 38,184,318.72/8,270.40
  6. Step 6: Final answer
    x = 4,616.99

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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.