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Finding the Fourth Proportional to 3,172.35, 4,759 and 1,710.71

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Solution

The fourth proportional to 3,172.35, 4,759 and 1,710.71 is: 2,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.35 : 4,759 = 1,710.71 : x
  2. Step 2: Convert to fraction form
    3,172.35/4,759 = 1,710.71/x
  3. Step 3: Cross multiply
    3,172.35x = 4,759 × 1,710.71
  4. Step 4: Simplify right side
    3,172.35x = 8,141,268.89
  5. Step 5: Solve for x
    x = 8,141,268.89/3,172.35
  6. Step 6: Final answer
    x = 2,566.32

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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.