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Finding the Fourth Proportional to 2,319.94, 3,479.82 and 859.38

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Solution

The fourth proportional to 2,319.94, 3,479.82 and 859.38 is: 1,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.94 : 3,479.82 = 859.38 : x
  2. Step 2: Convert to fraction form
    2,319.94/3,479.82 = 859.38/x
  3. Step 3: Cross multiply
    2,319.94x = 3,479.82 × 859.38
  4. Step 4: Simplify right side
    2,319.94x = 2,990,487.71
  5. Step 5: Solve for x
    x = 2,990,487.71/2,319.94
  6. Step 6: Final answer
    x = 1,289.04

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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.