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Finding the Fourth Proportional to 2,503.14, 3,754.78 and 859.66

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Solution

The fourth proportional to 2,503.14, 3,754.78 and 859.66 is: 1,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.14 : 3,754.78 = 859.66 : x
  2. Step 2: Convert to fraction form
    2,503.14/3,754.78 = 859.66/x
  3. Step 3: Cross multiply
    2,503.14x = 3,754.78 × 859.66
  4. Step 4: Simplify right side
    2,503.14x = 3,227,834.17
  5. Step 5: Solve for x
    x = 3,227,834.17/2,503.14
  6. Step 6: Final answer
    x = 1,289.51

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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.