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Finding the Fourth Proportional to 2,558.79, 3,534.44 and 1,776.33

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Solution

The fourth proportional to 2,558.79, 3,534.44 and 1,776.33 is: 2,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.79 : 3,534.44 = 1,776.33 : x
  2. Step 2: Convert to fraction form
    2,558.79/3,534.44 = 1,776.33/x
  3. Step 3: Cross multiply
    2,558.79x = 3,534.44 × 1,776.33
  4. Step 4: Simplify right side
    2,558.79x = 6,278,322.92
  5. Step 5: Solve for x
    x = 6,278,322.92/2,558.79
  6. Step 6: Final answer
    x = 2,453.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.