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Finding the Fourth Proportional to 2,078.36, 3,118.46 and 983.51

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Solution

The fourth proportional to 2,078.36, 3,118.46 and 983.51 is: 1,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.36 : 3,118.46 = 983.51 : x
  2. Step 2: Convert to fraction form
    2,078.36/3,118.46 = 983.51/x
  3. Step 3: Cross multiply
    2,078.36x = 3,118.46 × 983.51
  4. Step 4: Simplify right side
    2,078.36x = 3,067,031.68
  5. Step 5: Solve for x
    x = 3,067,031.68/2,078.36
  6. Step 6: Final answer
    x = 1,475.70

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1.5x scale

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.