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Finding the Fourth Proportional to 2,739.02, 4,106.14 and 983.75

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Solution

The fourth proportional to 2,739.02, 4,106.14 and 983.75 is: 1,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.02 : 4,106.14 = 983.75 : x
  2. Step 2: Convert to fraction form
    2,739.02/4,106.14 = 983.75/x
  3. Step 3: Cross multiply
    2,739.02x = 4,106.14 × 983.75
  4. Step 4: Simplify right side
    2,739.02x = 4,039,415.23
  5. Step 5: Solve for x
    x = 4,039,415.23/2,739.02
  6. Step 6: Final answer
    x = 1,474.77

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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.