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Finding the Fourth Proportional to 2,762.81, 3,810.48 and 1,953.83

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Solution

The fourth proportional to 2,762.81, 3,810.48 and 1,953.83 is: 2,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.81 : 3,810.48 = 1,953.83 : x
  2. Step 2: Convert to fraction form
    2,762.81/3,810.48 = 1,953.83/x
  3. Step 3: Cross multiply
    2,762.81x = 3,810.48 × 1,953.83
  4. Step 4: Simplify right side
    2,762.81x = 7,445,030.14
  5. Step 5: Solve for x
    x = 7,445,030.14/2,762.81
  6. Step 6: Final answer
    x = 2,694.73

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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.