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Finding the Fourth Proportional to 1,871, 2,582.04 and 1,043

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Solution

The fourth proportional to 1,871, 2,582.04 and 1,043 is: 1,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871 : 2,582.04 = 1,043 : x
  2. Step 2: Convert to fraction form
    1,871/2,582.04 = 1,043/x
  3. Step 3: Cross multiply
    1,871x = 2,582.04 × 1,043
  4. Step 4: Simplify right side
    1,871x = 2,693,067.72
  5. Step 5: Solve for x
    x = 2,693,067.72/1,871
  6. Step 6: Final answer
    x = 1,439.37

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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.