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Finding the Fourth Proportional to 2,708.37, 4,062.70 and 859.62

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Solution

The fourth proportional to 2,708.37, 4,062.70 and 859.62 is: 1,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.37 : 4,062.70 = 859.62 : x
  2. Step 2: Convert to fraction form
    2,708.37/4,062.70 = 859.62/x
  3. Step 3: Cross multiply
    2,708.37x = 4,062.70 × 859.62
  4. Step 4: Simplify right side
    2,708.37x = 3,492,373.88
  5. Step 5: Solve for x
    x = 3,492,373.88/2,708.37
  6. Step 6: Final answer
    x = 1,289.48

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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.