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Finding the Fourth Proportional to 2,739.94, 3,782.65 and 1,810.06

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Solution

The fourth proportional to 2,739.94, 3,782.65 and 1,810.06 is: 2,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.94 : 3,782.65 = 1,810.06 : x
  2. Step 2: Convert to fraction form
    2,739.94/3,782.65 = 1,810.06/x
  3. Step 3: Cross multiply
    2,739.94x = 3,782.65 × 1,810.06
  4. Step 4: Simplify right side
    2,739.94x = 6,846,823.46
  5. Step 5: Solve for x
    x = 6,846,823.46/2,739.94
  6. Step 6: Final answer
    x = 2,498.90

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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.