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Finding the Fourth Proportional to 2,412.65, 3,619.98 and 852.86

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Solution

The fourth proportional to 2,412.65, 3,619.98 and 852.86 is: 1,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.65 : 3,619.98 = 852.86 : x
  2. Step 2: Convert to fraction form
    2,412.65/3,619.98 = 852.86/x
  3. Step 3: Cross multiply
    2,412.65x = 3,619.98 × 852.86
  4. Step 4: Simplify right side
    2,412.65x = 3,087,336.14
  5. Step 5: Solve for x
    x = 3,087,336.14/2,412.65
  6. Step 6: Final answer
    x = 1,279.65

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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.