Home / 2,078.12-3,117.99-923.06

Finding the Fourth Proportional to 2,078.12, 3,117.99 and 923.06

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Solution

The fourth proportional to 2,078.12, 3,117.99 and 923.06 is: 1,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.12 : 3,117.99 = 923.06 : x
  2. Step 2: Convert to fraction form
    2,078.12/3,117.99 = 923.06/x
  3. Step 3: Cross multiply
    2,078.12x = 3,117.99 × 923.06
  4. Step 4: Simplify right side
    2,078.12x = 2,878,103.11
  5. Step 5: Solve for x
    x = 2,878,103.11/2,078.12
  6. Step 6: Final answer
    x = 1,384.95

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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.