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Finding the Fourth Proportional to 2,897.98, 4,346.69 and 817.95

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Solution

The fourth proportional to 2,897.98, 4,346.69 and 817.95 is: 1,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.98 : 4,346.69 = 817.95 : x
  2. Step 2: Convert to fraction form
    2,897.98/4,346.69 = 817.95/x
  3. Step 3: Cross multiply
    2,897.98x = 4,346.69 × 817.95
  4. Step 4: Simplify right side
    2,897.98x = 3,555,371.00
  5. Step 5: Solve for x
    x = 3,555,371.00/2,897.98
  6. Step 6: Final answer
    x = 1,226.85

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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.