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Finding the Fourth Proportional to 1,871.16, 2,804.31 and 1,842

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Solution

The fourth proportional to 1,871.16, 2,804.31 and 1,842 is: 2,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.16 : 2,804.31 = 1,842 : x
  2. Step 2: Convert to fraction form
    1,871.16/2,804.31 = 1,842/x
  3. Step 3: Cross multiply
    1,871.16x = 2,804.31 × 1,842
  4. Step 4: Simplify right side
    1,871.16x = 5,165,539.02
  5. Step 5: Solve for x
    x = 5,165,539.02/1,871.16
  6. Step 6: Final answer
    x = 2,760.61

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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.