Home / 2,103.81-3,155.72-948.21

Finding the Fourth Proportional to 2,103.81, 3,155.72 and 948.21

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Solution

The fourth proportional to 2,103.81, 3,155.72 and 948.21 is: 1,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.81 : 3,155.72 = 948.21 : x
  2. Step 2: Convert to fraction form
    2,103.81/3,155.72 = 948.21/x
  3. Step 3: Cross multiply
    2,103.81x = 3,155.72 × 948.21
  4. Step 4: Simplify right side
    2,103.81x = 2,992,280.52
  5. Step 5: Solve for x
    x = 2,992,280.52/2,103.81
  6. Step 6: Final answer
    x = 1,422.32

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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.