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Finding the Fourth Proportional to 2,076.82, 2,867.34 and 1,291.93

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Solution

The fourth proportional to 2,076.82, 2,867.34 and 1,291.93 is: 1,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.82 : 2,867.34 = 1,291.93 : x
  2. Step 2: Convert to fraction form
    2,076.82/2,867.34 = 1,291.93/x
  3. Step 3: Cross multiply
    2,076.82x = 2,867.34 × 1,291.93
  4. Step 4: Simplify right side
    2,076.82x = 3,704,402.57
  5. Step 5: Solve for x
    x = 3,704,402.57/2,076.82
  6. Step 6: Final answer
    x = 1,783.69

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