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Finding the Fourth Proportional to 19,077.54, 28,616.31 and 8,682

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Solution

The fourth proportional to 19,077.54, 28,616.31 and 8,682 is: 13,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.54 : 28,616.31 = 8,682 : x
  2. Step 2: Convert to fraction form
    19,077.54/28,616.31 = 8,682/x
  3. Step 3: Cross multiply
    19,077.54x = 28,616.31 × 8,682
  4. Step 4: Simplify right side
    19,077.54x = 248,446,803.42
  5. Step 5: Solve for x
    x = 248,446,803.42/19,077.54
  6. Step 6: Final answer
    x = 13,023

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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.