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Finding the Fourth Proportional to 3,469.78, 4,788.24 and 1,897.84

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Solution

The fourth proportional to 3,469.78, 4,788.24 and 1,897.84 is: 2,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.78 : 4,788.24 = 1,897.84 : x
  2. Step 2: Convert to fraction form
    3,469.78/4,788.24 = 1,897.84/x
  3. Step 3: Cross multiply
    3,469.78x = 4,788.24 × 1,897.84
  4. Step 4: Simplify right side
    3,469.78x = 9,087,313.40
  5. Step 5: Solve for x
    x = 9,087,313.40/3,469.78
  6. Step 6: Final answer
    x = 2,618.99

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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.