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Finding the Fourth Proportional to 3,049.76, 4,209 and 1,871.48

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Solution

The fourth proportional to 3,049.76, 4,209 and 1,871.48 is: 2,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.76 : 4,209 = 1,871.48 : x
  2. Step 2: Convert to fraction form
    3,049.76/4,209 = 1,871.48/x
  3. Step 3: Cross multiply
    3,049.76x = 4,209 × 1,871.48
  4. Step 4: Simplify right side
    3,049.76x = 7,877,059.32
  5. Step 5: Solve for x
    x = 7,877,059.32/3,049.76
  6. Step 6: Final answer
    x = 2,582.85

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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.