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Finding the Fourth Proportional to 19,101.30, 28,640.44 and 8,569.42

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Solution

The fourth proportional to 19,101.30, 28,640.44 and 8,569.42 is: 12,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101.30 : 28,640.44 = 8,569.42 : x
  2. Step 2: Convert to fraction form
    19,101.30/28,640.44 = 8,569.42/x
  3. Step 3: Cross multiply
    19,101.30x = 28,640.44 × 8,569.42
  4. Step 4: Simplify right side
    19,101.30x = 245,431,959.34
  5. Step 5: Solve for x
    x = 245,431,959.34/19,101.30
  6. Step 6: Final answer
    x = 12,848.97

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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.