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Finding the Fourth Proportional to 13,969.68, 20,936.72 and 6,557.76

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Solution

The fourth proportional to 13,969.68, 20,936.72 and 6,557.76 is: 9,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.68 : 20,936.72 = 6,557.76 : x
  2. Step 2: Convert to fraction form
    13,969.68/20,936.72 = 6,557.76/x
  3. Step 3: Cross multiply
    13,969.68x = 20,936.72 × 6,557.76
  4. Step 4: Simplify right side
    13,969.68x = 137,297,984.95
  5. Step 5: Solve for x
    x = 137,297,984.95/13,969.68
  6. Step 6: Final answer
    x = 9,828.28

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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.