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Finding the Fourth Proportional to 13,385.40, 18,471.40 and 8,083.32

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Solution

The fourth proportional to 13,385.40, 18,471.40 and 8,083.32 is: 11,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.40 : 18,471.40 = 8,083.32 : x
  2. Step 2: Convert to fraction form
    13,385.40/18,471.40 = 8,083.32/x
  3. Step 3: Cross multiply
    13,385.40x = 18,471.40 × 8,083.32
  4. Step 4: Simplify right side
    13,385.40x = 149,310,237.05
  5. Step 5: Solve for x
    x = 149,310,237.05/13,385.40
  6. Step 6: Final answer
    x = 11,154.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.