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Finding the Fourth Proportional to 3,071, 4,236.09 and 2,188.01

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Solution

The fourth proportional to 3,071, 4,236.09 and 2,188.01 is: 3,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 4,236.09 = 2,188.01 : x
  2. Step 2: Convert to fraction form
    3,071/4,236.09 = 2,188.01/x
  3. Step 3: Cross multiply
    3,071x = 4,236.09 × 2,188.01
  4. Step 4: Simplify right side
    3,071x = 9,268,607.28
  5. Step 5: Solve for x
    x = 9,268,607.28/3,071
  6. Step 6: Final answer
    x = 3,018.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.