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Finding the Fourth Proportional to 13,972.80, 19,268.08 and 9,728.80

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Solution

The fourth proportional to 13,972.80, 19,268.08 and 9,728.80 is: 13,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.80 : 19,268.08 = 9,728.80 : x
  2. Step 2: Convert to fraction form
    13,972.80/19,268.08 = 9,728.80/x
  3. Step 3: Cross multiply
    13,972.80x = 19,268.08 × 9,728.80
  4. Step 4: Simplify right side
    13,972.80x = 187,455,296.70
  5. Step 5: Solve for x
    x = 187,455,296.70/13,972.80
  6. Step 6: Final answer
    x = 13,415.73

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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.