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Finding the Fourth Proportional to 2,503.29, 3,755.22 and 859.53

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Solution

The fourth proportional to 2,503.29, 3,755.22 and 859.53 is: 1,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.29 : 3,755.22 = 859.53 : x
  2. Step 2: Convert to fraction form
    2,503.29/3,755.22 = 859.53/x
  3. Step 3: Cross multiply
    2,503.29x = 3,755.22 × 859.53
  4. Step 4: Simplify right side
    2,503.29x = 3,227,724.25
  5. Step 5: Solve for x
    x = 3,227,724.25/2,503.29
  6. Step 6: Final answer
    x = 1,289.39

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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.