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Finding the Fourth Proportional to 2,412.32, 3,618.91 and 853.22

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Solution

The fourth proportional to 2,412.32, 3,618.91 and 853.22 is: 1,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.32 : 3,618.91 = 853.22 : x
  2. Step 2: Convert to fraction form
    2,412.32/3,618.91 = 853.22/x
  3. Step 3: Cross multiply
    2,412.32x = 3,618.91 × 853.22
  4. Step 4: Simplify right side
    2,412.32x = 3,087,722.12
  5. Step 5: Solve for x
    x = 3,087,722.12/2,412.32
  6. Step 6: Final answer
    x = 1,279.98

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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.