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Finding the Fourth Proportional to 13,969.31, 20,945.73 and 6,949.04

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Solution

The fourth proportional to 13,969.31, 20,945.73 and 6,949.04 is: 10,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.31 : 20,945.73 = 6,949.04 : x
  2. Step 2: Convert to fraction form
    13,969.31/20,945.73 = 6,949.04/x
  3. Step 3: Cross multiply
    13,969.31x = 20,945.73 × 6,949.04
  4. Step 4: Simplify right side
    13,969.31x = 145,552,715.60
  5. Step 5: Solve for x
    x = 145,552,715.60/13,969.31
  6. Step 6: Final answer
    x = 10,419.46

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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.