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Finding the Fourth Proportional to 3,512.51, 4,846.25 and 2,000.10

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Solution

The fourth proportional to 3,512.51, 4,846.25 and 2,000.10 is: 2,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.51 : 4,846.25 = 2,000.10 : x
  2. Step 2: Convert to fraction form
    3,512.51/4,846.25 = 2,000.10/x
  3. Step 3: Cross multiply
    3,512.51x = 4,846.25 × 2,000.10
  4. Step 4: Simplify right side
    3,512.51x = 9,692,984.63
  5. Step 5: Solve for x
    x = 9,692,984.63/3,512.51
  6. Step 6: Final answer
    x = 2,759.56

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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.