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Finding the Fourth Proportional to 3,168.03, 4,751.51 and 859.53

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Solution

The fourth proportional to 3,168.03, 4,751.51 and 859.53 is: 1,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.03 : 4,751.51 = 859.53 : x
  2. Step 2: Convert to fraction form
    3,168.03/4,751.51 = 859.53/x
  3. Step 3: Cross multiply
    3,168.03x = 4,751.51 × 859.53
  4. Step 4: Simplify right side
    3,168.03x = 4,084,061.09
  5. Step 5: Solve for x
    x = 4,084,061.09/3,168.03
  6. Step 6: Final answer
    x = 1,289.15

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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.