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Finding the Fourth Proportional to 3,443.51, 4,752 and 1,871.60

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Solution

The fourth proportional to 3,443.51, 4,752 and 1,871.60 is: 2,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.51 : 4,752 = 1,871.60 : x
  2. Step 2: Convert to fraction form
    3,443.51/4,752 = 1,871.60/x
  3. Step 3: Cross multiply
    3,443.51x = 4,752 × 1,871.60
  4. Step 4: Simplify right side
    3,443.51x = 8,893,819.44
  5. Step 5: Solve for x
    x = 8,893,819.44/3,443.51
  6. Step 6: Final answer
    x = 2,582.78

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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.