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Finding the Fourth Proportional to 2,697.81, 4,043.01 and 2,039.15

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Solution

The fourth proportional to 2,697.81, 4,043.01 and 2,039.15 is: 3,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.81 : 4,043.01 = 2,039.15 : x
  2. Step 2: Convert to fraction form
    2,697.81/4,043.01 = 2,039.15/x
  3. Step 3: Cross multiply
    2,697.81x = 4,043.01 × 2,039.15
  4. Step 4: Simplify right side
    2,697.81x = 8,244,283.63
  5. Step 5: Solve for x
    x = 8,244,283.63/2,697.81
  6. Step 6: Final answer
    x = 3,055.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.