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Finding the Fourth Proportional to 1,674.36, 2,511.30 and 853.23

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Solution

The fourth proportional to 1,674.36, 2,511.30 and 853.23 is: 1,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.36 : 2,511.30 = 853.23 : x
  2. Step 2: Convert to fraction form
    1,674.36/2,511.30 = 853.23/x
  3. Step 3: Cross multiply
    1,674.36x = 2,511.30 × 853.23
  4. Step 4: Simplify right side
    1,674.36x = 2,142,716.50
  5. Step 5: Solve for x
    x = 2,142,716.50/1,674.36
  6. Step 6: Final answer
    x = 1,279.72

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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.