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Finding the Fourth Proportional to 19,667, 27,140.70 and 11,284.28

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Solution

The fourth proportional to 19,667, 27,140.70 and 11,284.28 is: 15,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667 : 27,140.70 = 11,284.28 : x
  2. Step 2: Convert to fraction form
    19,667/27,140.70 = 11,284.28/x
  3. Step 3: Cross multiply
    19,667x = 27,140.70 × 11,284.28
  4. Step 4: Simplify right side
    19,667x = 306,263,258.20
  5. Step 5: Solve for x
    x = 306,263,258.20/19,667
  6. Step 6: Final answer
    x = 15,572.44

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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.