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Finding the Fourth Proportional to 2,756.81, 3,804.50 and 1,577.99

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Solution

The fourth proportional to 2,756.81, 3,804.50 and 1,577.99 is: 2,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.81 : 3,804.50 = 1,577.99 : x
  2. Step 2: Convert to fraction form
    2,756.81/3,804.50 = 1,577.99/x
  3. Step 3: Cross multiply
    2,756.81x = 3,804.50 × 1,577.99
  4. Step 4: Simplify right side
    2,756.81x = 6,003,462.96
  5. Step 5: Solve for x
    x = 6,003,462.96/2,756.81
  6. Step 6: Final answer
    x = 2,177.68

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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.