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Finding the Fourth Proportional to 19,838, 29,768.56 and 8,894

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Solution

The fourth proportional to 19,838, 29,768.56 and 8,894 is: 13,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 29,768.56 = 8,894 : x
  2. Step 2: Convert to fraction form
    19,838/29,768.56 = 8,894/x
  3. Step 3: Cross multiply
    19,838x = 29,768.56 × 8,894
  4. Step 4: Simplify right side
    19,838x = 264,761,572.64
  5. Step 5: Solve for x
    x = 264,761,572.64/19,838
  6. Step 6: Final answer
    x = 13,346.18

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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.