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Finding the Fourth Proportional to 3,167.93, 4,751.90 and 859.61

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Solution

The fourth proportional to 3,167.93, 4,751.90 and 859.61 is: 1,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.93 : 4,751.90 = 859.61 : x
  2. Step 2: Convert to fraction form
    3,167.93/4,751.90 = 859.61/x
  3. Step 3: Cross multiply
    3,167.93x = 4,751.90 × 859.61
  4. Step 4: Simplify right side
    3,167.93x = 4,084,780.76
  5. Step 5: Solve for x
    x = 4,084,780.76/3,167.93
  6. Step 6: Final answer
    x = 1,289.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.