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Finding the Fourth Proportional to 1,932.80, 2,667.84 and 1,539.68

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Solution

The fourth proportional to 1,932.80, 2,667.84 and 1,539.68 is: 2,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.80 : 2,667.84 = 1,539.68 : x
  2. Step 2: Convert to fraction form
    1,932.80/2,667.84 = 1,539.68/x
  3. Step 3: Cross multiply
    1,932.80x = 2,667.84 × 1,539.68
  4. Step 4: Simplify right side
    1,932.80x = 4,107,619.89
  5. Step 5: Solve for x
    x = 4,107,619.89/1,932.80
  6. Step 6: Final answer
    x = 2,125.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.