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Finding the Fourth Proportional to 2,761.65, 3,810.96 and 1,582.65

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Solution

The fourth proportional to 2,761.65, 3,810.96 and 1,582.65 is: 2,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.65 : 3,810.96 = 1,582.65 : x
  2. Step 2: Convert to fraction form
    2,761.65/3,810.96 = 1,582.65/x
  3. Step 3: Cross multiply
    2,761.65x = 3,810.96 × 1,582.65
  4. Step 4: Simplify right side
    2,761.65x = 6,031,415.84
  5. Step 5: Solve for x
    x = 6,031,415.84/2,761.65
  6. Step 6: Final answer
    x = 2,183.99

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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.