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Finding the Fourth Proportional to 3,050.82, 4,210.14 and 1,724.40

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Solution

The fourth proportional to 3,050.82, 4,210.14 and 1,724.40 is: 2,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.82 : 4,210.14 = 1,724.40 : x
  2. Step 2: Convert to fraction form
    3,050.82/4,210.14 = 1,724.40/x
  3. Step 3: Cross multiply
    3,050.82x = 4,210.14 × 1,724.40
  4. Step 4: Simplify right side
    3,050.82x = 7,259,965.42
  5. Step 5: Solve for x
    x = 7,259,965.42/3,050.82
  6. Step 6: Final answer
    x = 2,379.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.