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Finding the Fourth Proportional to 8,201.76, 12,302.62 and 3,518.74

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Solution

The fourth proportional to 8,201.76, 12,302.62 and 3,518.74 is: 5,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.76 : 12,302.62 = 3,518.74 : x
  2. Step 2: Convert to fraction form
    8,201.76/12,302.62 = 3,518.74/x
  3. Step 3: Cross multiply
    8,201.76x = 12,302.62 × 3,518.74
  4. Step 4: Simplify right side
    8,201.76x = 43,289,721.10
  5. Step 5: Solve for x
    x = 43,289,721.10/8,201.76
  6. Step 6: Final answer
    x = 5,278.10

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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.