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Finding the Fourth Proportional to 3,168.25, 4,752.51 and 859.75

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Solution

The fourth proportional to 3,168.25, 4,752.51 and 859.75 is: 1,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.25 : 4,752.51 = 859.75 : x
  2. Step 2: Convert to fraction form
    3,168.25/4,752.51 = 859.75/x
  3. Step 3: Cross multiply
    3,168.25x = 4,752.51 × 859.75
  4. Step 4: Simplify right side
    3,168.25x = 4,085,970.47
  5. Step 5: Solve for x
    x = 4,085,970.47/3,168.25
  6. Step 6: Final answer
    x = 1,289.66

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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.