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Finding the Fourth Proportional to 3,033.25, 4,549.87 and 842.00

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Solution

The fourth proportional to 3,033.25, 4,549.87 and 842.00 is: 1,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.25 : 4,549.87 = 842.00 : x
  2. Step 2: Convert to fraction form
    3,033.25/4,549.87 = 842.00/x
  3. Step 3: Cross multiply
    3,033.25x = 4,549.87 × 842.00
  4. Step 4: Simplify right side
    3,033.25x = 3,830,968.84
  5. Step 5: Solve for x
    x = 3,830,968.84/3,033.25
  6. Step 6: Final answer
    x = 1,262.99

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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.