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Finding the Fourth Proportional to 3,710.50, 5,120.49 and 2,054.50

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Solution

The fourth proportional to 3,710.50, 5,120.49 and 2,054.50 is: 2,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.50 : 5,120.49 = 2,054.50 : x
  2. Step 2: Convert to fraction form
    3,710.50/5,120.49 = 2,054.50/x
  3. Step 3: Cross multiply
    3,710.50x = 5,120.49 × 2,054.50
  4. Step 4: Simplify right side
    3,710.50x = 10,520,046.71
  5. Step 5: Solve for x
    x = 10,520,046.71/3,710.50
  6. Step 6: Final answer
    x = 2,835.21

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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.