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Finding the Fourth Proportional to 19,322, 28,983 and 5,471

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Solution

The fourth proportional to 19,322, 28,983 and 5,471 is: 8,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322 : 28,983 = 5,471 : x
  2. Step 2: Convert to fraction form
    19,322/28,983 = 5,471/x
  3. Step 3: Cross multiply
    19,322x = 28,983 × 5,471
  4. Step 4: Simplify right side
    19,322x = 158,565,993
  5. Step 5: Solve for x
    x = 158,565,993/19,322
  6. Step 6: Final answer
    x = 8,206.50

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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.