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Finding the Fourth Proportional to 2,300.37, 3,451.90 and 1,001.82

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Solution

The fourth proportional to 2,300.37, 3,451.90 and 1,001.82 is: 1,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.37 : 3,451.90 = 1,001.82 : x
  2. Step 2: Convert to fraction form
    2,300.37/3,451.90 = 1,001.82/x
  3. Step 3: Cross multiply
    2,300.37x = 3,451.90 × 1,001.82
  4. Step 4: Simplify right side
    2,300.37x = 3,458,182.46
  5. Step 5: Solve for x
    x = 3,458,182.46/2,300.37
  6. Step 6: Final answer
    x = 1,503.32

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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.