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Finding the Fourth Proportional to 12,847.96, 19,235.50 and 8,410.80

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Solution

The fourth proportional to 12,847.96, 19,235.50 and 8,410.80 is: 12,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.96 : 19,235.50 = 8,410.80 : x
  2. Step 2: Convert to fraction form
    12,847.96/19,235.50 = 8,410.80/x
  3. Step 3: Cross multiply
    12,847.96x = 19,235.50 × 8,410.80
  4. Step 4: Simplify right side
    12,847.96x = 161,785,943.40
  5. Step 5: Solve for x
    x = 161,785,943.40/12,847.96
  6. Step 6: Final answer
    x = 12,592.34

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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.