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Finding the Fourth Proportional to 19,671.87, 29,512.41 and 7,826.31

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Solution

The fourth proportional to 19,671.87, 29,512.41 and 7,826.31 is: 11,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.87 : 29,512.41 = 7,826.31 : x
  2. Step 2: Convert to fraction form
    19,671.87/29,512.41 = 7,826.31/x
  3. Step 3: Cross multiply
    19,671.87x = 29,512.41 × 7,826.31
  4. Step 4: Simplify right side
    19,671.87x = 230,973,269.51
  5. Step 5: Solve for x
    x = 230,973,269.51/19,671.87
  6. Step 6: Final answer
    x = 11,741.30

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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.