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Finding the Fourth Proportional to 2,871, 4,309.56 and 1,228.32

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Solution

The fourth proportional to 2,871, 4,309.56 and 1,228.32 is: 1,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 4,309.56 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    2,871/4,309.56 = 1,228.32/x
  3. Step 3: Cross multiply
    2,871x = 4,309.56 × 1,228.32
  4. Step 4: Simplify right side
    2,871x = 5,293,518.74
  5. Step 5: Solve for x
    x = 5,293,518.74/2,871
  6. Step 6: Final answer
    x = 1,843.79

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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.