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Finding the Fourth Proportional to 2,100.37, 3,148.49 and 783.15

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Solution

The fourth proportional to 2,100.37, 3,148.49 and 783.15 is: 1,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.37 : 3,148.49 = 783.15 : x
  2. Step 2: Convert to fraction form
    2,100.37/3,148.49 = 783.15/x
  3. Step 3: Cross multiply
    2,100.37x = 3,148.49 × 783.15
  4. Step 4: Simplify right side
    2,100.37x = 2,465,739.94
  5. Step 5: Solve for x
    x = 2,465,739.94/2,100.37
  6. Step 6: Final answer
    x = 1,173.96

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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.