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Finding the Fourth Proportional to 2,526, 3,788.56 and 677.24

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Solution

The fourth proportional to 2,526, 3,788.56 and 677.24 is: 1,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526 : 3,788.56 = 677.24 : x
  2. Step 2: Convert to fraction form
    2,526/3,788.56 = 677.24/x
  3. Step 3: Cross multiply
    2,526x = 3,788.56 × 677.24
  4. Step 4: Simplify right side
    2,526x = 2,565,764.37
  5. Step 5: Solve for x
    x = 2,565,764.37/2,526
  6. Step 6: Final answer
    x = 1,015.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.