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Finding the Fourth Proportional to 19,304.90, 28,971.19 and 8,219.36

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Solution

The fourth proportional to 19,304.90, 28,971.19 and 8,219.36 is: 12,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.90 : 28,971.19 = 8,219.36 : x
  2. Step 2: Convert to fraction form
    19,304.90/28,971.19 = 8,219.36/x
  3. Step 3: Cross multiply
    19,304.90x = 28,971.19 × 8,219.36
  4. Step 4: Simplify right side
    19,304.90x = 238,124,640.24
  5. Step 5: Solve for x
    x = 238,124,640.24/19,304.90
  6. Step 6: Final answer
    x = 12,334.93

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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.