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Finding the Fourth Proportional to 2,525.91, 3,788.54 and 677.16

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Solution

The fourth proportional to 2,525.91, 3,788.54 and 677.16 is: 1,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.91 : 3,788.54 = 677.16 : x
  2. Step 2: Convert to fraction form
    2,525.91/3,788.54 = 677.16/x
  3. Step 3: Cross multiply
    2,525.91x = 3,788.54 × 677.16
  4. Step 4: Simplify right side
    2,525.91x = 2,565,447.75
  5. Step 5: Solve for x
    x = 2,565,447.75/2,525.91
  6. Step 6: Final answer
    x = 1,015.65

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1.5x scale

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.