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Finding the Fourth Proportional to 5,172.82, 7,759.21 and 1,710.07

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Solution

The fourth proportional to 5,172.82, 7,759.21 and 1,710.07 is: 2,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.82 : 7,759.21 = 1,710.07 : x
  2. Step 2: Convert to fraction form
    5,172.82/7,759.21 = 1,710.07/x
  3. Step 3: Cross multiply
    5,172.82x = 7,759.21 × 1,710.07
  4. Step 4: Simplify right side
    5,172.82x = 13,268,792.24
  5. Step 5: Solve for x
    x = 13,268,792.24/5,172.82
  6. Step 6: Final answer
    x = 2,565.10

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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.