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Finding the Fourth Proportional to 8,077.63, 12,121.30 and 3,460.63

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Solution

The fourth proportional to 8,077.63, 12,121.30 and 3,460.63 is: 5,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.63 : 12,121.30 = 3,460.63 : x
  2. Step 2: Convert to fraction form
    8,077.63/12,121.30 = 3,460.63/x
  3. Step 3: Cross multiply
    8,077.63x = 12,121.30 × 3,460.63
  4. Step 4: Simplify right side
    8,077.63x = 41,947,273.81
  5. Step 5: Solve for x
    x = 41,947,273.81/8,077.63
  6. Step 6: Final answer
    x = 5,193.02

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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.