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Finding the Fourth Proportional to 13,893.12, 19,174.98 and 7,845.20

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Solution

The fourth proportional to 13,893.12, 19,174.98 and 7,845.20 is: 10,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.12 : 19,174.98 = 7,845.20 : x
  2. Step 2: Convert to fraction form
    13,893.12/19,174.98 = 7,845.20/x
  3. Step 3: Cross multiply
    13,893.12x = 19,174.98 × 7,845.20
  4. Step 4: Simplify right side
    13,893.12x = 150,431,553.10
  5. Step 5: Solve for x
    x = 150,431,553.10/13,893.12
  6. Step 6: Final answer
    x = 10,827.77

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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.