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Finding the Fourth Proportional to 3,168, 4,752 and 859.50

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Solution

The fourth proportional to 3,168, 4,752 and 859.50 is: 1,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168 : 4,752 = 859.50 : x
  2. Step 2: Convert to fraction form
    3,168/4,752 = 859.50/x
  3. Step 3: Cross multiply
    3,168x = 4,752 × 859.50
  4. Step 4: Simplify right side
    3,168x = 4,084,344
  5. Step 5: Solve for x
    x = 4,084,344/3,168
  6. Step 6: Final answer
    x = 1,289.25

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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.