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Finding the Fourth Proportional to 2,761.70, 3,810.24 and 1,582.34

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Solution

The fourth proportional to 2,761.70, 3,810.24 and 1,582.34 is: 2,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.70 : 3,810.24 = 1,582.34 : x
  2. Step 2: Convert to fraction form
    2,761.70/3,810.24 = 1,582.34/x
  3. Step 3: Cross multiply
    2,761.70x = 3,810.24 × 1,582.34
  4. Step 4: Simplify right side
    2,761.70x = 6,029,076.11
  5. Step 5: Solve for x
    x = 6,029,076.11/2,761.70
  6. Step 6: Final answer
    x = 2,183.11

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1.5x scale

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.