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Finding the Fourth Proportional to 1,842.51, 2,765.36 and 965.63

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Solution

The fourth proportional to 1,842.51, 2,765.36 and 965.63 is: 1,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.51 : 2,765.36 = 965.63 : x
  2. Step 2: Convert to fraction form
    1,842.51/2,765.36 = 965.63/x
  3. Step 3: Cross multiply
    1,842.51x = 2,765.36 × 965.63
  4. Step 4: Simplify right side
    1,842.51x = 2,670,303.16
  5. Step 5: Solve for x
    x = 2,670,303.16/1,842.51
  6. Step 6: Final answer
    x = 1,449.27

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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.