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Finding the Fourth Proportional to 2,751.87, 4,129.83 and 1,582.44

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Solution

The fourth proportional to 2,751.87, 4,129.83 and 1,582.44 is: 2,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.87 : 4,129.83 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    2,751.87/4,129.83 = 1,582.44/x
  3. Step 3: Cross multiply
    2,751.87x = 4,129.83 × 1,582.44
  4. Step 4: Simplify right side
    2,751.87x = 6,535,208.19
  5. Step 5: Solve for x
    x = 6,535,208.19/2,751.87
  6. Step 6: Final answer
    x = 2,374.82

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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.