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Finding the Fourth Proportional to 2,050.83, 3,077.46 and 753.21

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Solution

The fourth proportional to 2,050.83, 3,077.46 and 753.21 is: 1,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.83 : 3,077.46 = 753.21 : x
  2. Step 2: Convert to fraction form
    2,050.83/3,077.46 = 753.21/x
  3. Step 3: Cross multiply
    2,050.83x = 3,077.46 × 753.21
  4. Step 4: Simplify right side
    2,050.83x = 2,317,973.65
  5. Step 5: Solve for x
    x = 2,317,973.65/2,050.83
  6. Step 6: Final answer
    x = 1,130.26

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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.