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Finding the Fourth Proportional to 2,157.96, 3,235.80 and 823.08

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Solution

The fourth proportional to 2,157.96, 3,235.80 and 823.08 is: 1,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.96 : 3,235.80 = 823.08 : x
  2. Step 2: Convert to fraction form
    2,157.96/3,235.80 = 823.08/x
  3. Step 3: Cross multiply
    2,157.96x = 3,235.80 × 823.08
  4. Step 4: Simplify right side
    2,157.96x = 2,663,322.26
  5. Step 5: Solve for x
    x = 2,663,322.26/2,157.96
  6. Step 6: Final answer
    x = 1,234.19

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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.