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Finding the Fourth Proportional to 8,100.78, 12,152.86 and 3,420.80

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Solution

The fourth proportional to 8,100.78, 12,152.86 and 3,420.80 is: 5,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.78 : 12,152.86 = 3,420.80 : x
  2. Step 2: Convert to fraction form
    8,100.78/12,152.86 = 3,420.80/x
  3. Step 3: Cross multiply
    8,100.78x = 12,152.86 × 3,420.80
  4. Step 4: Simplify right side
    8,100.78x = 41,572,479.74
  5. Step 5: Solve for x
    x = 41,572,479.74/8,100.78
  6. Step 6: Final answer
    x = 5,131.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.