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Finding the Fourth Proportional to 19,798, 29,697 and 5,206

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Solution

The fourth proportional to 19,798, 29,697 and 5,206 is: 7,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798 : 29,697 = 5,206 : x
  2. Step 2: Convert to fraction form
    19,798/29,697 = 5,206/x
  3. Step 3: Cross multiply
    19,798x = 29,697 × 5,206
  4. Step 4: Simplify right side
    19,798x = 154,602,582
  5. Step 5: Solve for x
    x = 154,602,582/19,798
  6. Step 6: Final answer
    x = 7,809

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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.