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Finding the Fourth Proportional to 19,626, 29,431.80 and 6,474.48

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Solution

The fourth proportional to 19,626, 29,431.80 and 6,474.48 is: 9,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626 : 29,431.80 = 6,474.48 : x
  2. Step 2: Convert to fraction form
    19,626/29,431.80 = 6,474.48/x
  3. Step 3: Cross multiply
    19,626x = 29,431.80 × 6,474.48
  4. Step 4: Simplify right side
    19,626x = 190,555,600.46
  5. Step 5: Solve for x
    x = 190,555,600.46/19,626
  6. Step 6: Final answer
    x = 9,709.34

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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.