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Finding the Fourth Proportional to 2,104.58, 2,905.58 and 1,871.08

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Solution

The fourth proportional to 2,104.58, 2,905.58 and 1,871.08 is: 2,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.58 : 2,905.58 = 1,871.08 : x
  2. Step 2: Convert to fraction form
    2,104.58/2,905.58 = 1,871.08/x
  3. Step 3: Cross multiply
    2,104.58x = 2,905.58 × 1,871.08
  4. Step 4: Simplify right side
    2,104.58x = 5,436,570.04
  5. Step 5: Solve for x
    x = 5,436,570.04/2,104.58
  6. Step 6: Final answer
    x = 2,583.21

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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.