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Finding the Fourth Proportional to 2,828.53, 4,243.40 and 853.99

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Solution

The fourth proportional to 2,828.53, 4,243.40 and 853.99 is: 1,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.53 : 4,243.40 = 853.99 : x
  2. Step 2: Convert to fraction form
    2,828.53/4,243.40 = 853.99/x
  3. Step 3: Cross multiply
    2,828.53x = 4,243.40 × 853.99
  4. Step 4: Simplify right side
    2,828.53x = 3,623,839.21
  5. Step 5: Solve for x
    x = 3,623,839.21/2,828.53
  6. Step 6: Final answer
    x = 1,281.17

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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.