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Finding the Fourth Proportional to 4,998, 6,897.24 and 2,790

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Solution

The fourth proportional to 4,998, 6,897.24 and 2,790 is: 3,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 6,897.24 = 2,790 : x
  2. Step 2: Convert to fraction form
    4,998/6,897.24 = 2,790/x
  3. Step 3: Cross multiply
    4,998x = 6,897.24 × 2,790
  4. Step 4: Simplify right side
    4,998x = 19,243,299.60
  5. Step 5: Solve for x
    x = 19,243,299.60/4,998
  6. Step 6: Final answer
    x = 3,850.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.