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Finding the Fourth Proportional to 2,525.39, 3,788.56 and 859.66

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Solution

The fourth proportional to 2,525.39, 3,788.56 and 859.66 is: 1,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.39 : 3,788.56 = 859.66 : x
  2. Step 2: Convert to fraction form
    2,525.39/3,788.56 = 859.66/x
  3. Step 3: Cross multiply
    2,525.39x = 3,788.56 × 859.66
  4. Step 4: Simplify right side
    2,525.39x = 3,256,881.57
  5. Step 5: Solve for x
    x = 3,256,881.57/2,525.39
  6. Step 6: Final answer
    x = 1,289.65

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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.