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Finding the Fourth Proportional to 1,760.94, 2,412.18 and 1,741.50

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Solution

The fourth proportional to 1,760.94, 2,412.18 and 1,741.50 is: 2,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.94 : 2,412.18 = 1,741.50 : x
  2. Step 2: Convert to fraction form
    1,760.94/2,412.18 = 1,741.50/x
  3. Step 3: Cross multiply
    1,760.94x = 2,412.18 × 1,741.50
  4. Step 4: Simplify right side
    1,760.94x = 4,200,811.47
  5. Step 5: Solve for x
    x = 4,200,811.47/1,760.94
  6. Step 6: Final answer
    x = 2,385.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.