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Finding the Fourth Proportional to 2,591.09, 3,885.80 and 859.25

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Solution

The fourth proportional to 2,591.09, 3,885.80 and 859.25 is: 1,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.09 : 3,885.80 = 859.25 : x
  2. Step 2: Convert to fraction form
    2,591.09/3,885.80 = 859.25/x
  3. Step 3: Cross multiply
    2,591.09x = 3,885.80 × 859.25
  4. Step 4: Simplify right side
    2,591.09x = 3,338,869.35
  5. Step 5: Solve for x
    x = 3,338,869.35/2,591.09
  6. Step 6: Final answer
    x = 1,288.60

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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.