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Finding the Fourth Proportional to 13,206, 19,809 and 4,998

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Solution

The fourth proportional to 13,206, 19,809 and 4,998 is: 7,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 19,809 = 4,998 : x
  2. Step 2: Convert to fraction form
    13,206/19,809 = 4,998/x
  3. Step 3: Cross multiply
    13,206x = 19,809 × 4,998
  4. Step 4: Simplify right side
    13,206x = 99,005,382
  5. Step 5: Solve for x
    x = 99,005,382/13,206
  6. Step 6: Final answer
    x = 7,497

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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.