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Finding the Fourth Proportional to 7,892.72, 11,838.80 and 1,969.64

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Solution

The fourth proportional to 7,892.72, 11,838.80 and 1,969.64 is: 2,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.72 : 11,838.80 = 1,969.64 : x
  2. Step 2: Convert to fraction form
    7,892.72/11,838.80 = 1,969.64/x
  3. Step 3: Cross multiply
    7,892.72x = 11,838.80 × 1,969.64
  4. Step 4: Simplify right side
    7,892.72x = 23,318,174.03
  5. Step 5: Solve for x
    x = 23,318,174.03/7,892.72
  6. Step 6: Final answer
    x = 2,954.39

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1.5x scale

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.