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Finding the Fourth Proportional to 8,270.60, 12,401.80 and 3,005.40

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Solution

The fourth proportional to 8,270.60, 12,401.80 and 3,005.40 is: 4,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.60 : 12,401.80 = 3,005.40 : x
  2. Step 2: Convert to fraction form
    8,270.60/12,401.80 = 3,005.40/x
  3. Step 3: Cross multiply
    8,270.60x = 12,401.80 × 3,005.40
  4. Step 4: Simplify right side
    8,270.60x = 37,272,369.72
  5. Step 5: Solve for x
    x = 37,272,369.72/8,270.60
  6. Step 6: Final answer
    x = 4,506.61

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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.