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Finding the Fourth Proportional to 2,765.22, 4,141.08 and 1,788.36

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Solution

The fourth proportional to 2,765.22, 4,141.08 and 1,788.36 is: 2,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.22 : 4,141.08 = 1,788.36 : x
  2. Step 2: Convert to fraction form
    2,765.22/4,141.08 = 1,788.36/x
  3. Step 3: Cross multiply
    2,765.22x = 4,141.08 × 1,788.36
  4. Step 4: Simplify right side
    2,765.22x = 7,405,741.83
  5. Step 5: Solve for x
    x = 7,405,741.83/2,765.22
  6. Step 6: Final answer
    x = 2,678.17

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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.