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Finding the Fourth Proportional to 12,571.16, 18,847.02 and 8,411

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Solution

The fourth proportional to 12,571.16, 18,847.02 and 8,411 is: 12,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.16 : 18,847.02 = 8,411 : x
  2. Step 2: Convert to fraction form
    12,571.16/18,847.02 = 8,411/x
  3. Step 3: Cross multiply
    12,571.16x = 18,847.02 × 8,411
  4. Step 4: Simplify right side
    12,571.16x = 158,522,285.22
  5. Step 5: Solve for x
    x = 158,522,285.22/12,571.16
  6. Step 6: Final answer
    x = 12,610.00

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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.