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Finding the Fourth Proportional to 19,759, 29,638.54 and 5,167

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Solution

The fourth proportional to 19,759, 29,638.54 and 5,167 is: 7,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759 : 29,638.54 = 5,167 : x
  2. Step 2: Convert to fraction form
    19,759/29,638.54 = 5,167/x
  3. Step 3: Cross multiply
    19,759x = 29,638.54 × 5,167
  4. Step 4: Simplify right side
    19,759x = 153,142,336.18
  5. Step 5: Solve for x
    x = 153,142,336.18/19,759
  6. Step 6: Final answer
    x = 7,750.51

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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.