Home / 2,155-2,974.28-1,630.12

Finding the Fourth Proportional to 2,155, 2,974.28 and 1,630.12

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Solution

The fourth proportional to 2,155, 2,974.28 and 1,630.12 is: 2,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155 : 2,974.28 = 1,630.12 : x
  2. Step 2: Convert to fraction form
    2,155/2,974.28 = 1,630.12/x
  3. Step 3: Cross multiply
    2,155x = 2,974.28 × 1,630.12
  4. Step 4: Simplify right side
    2,155x = 4,848,433.31
  5. Step 5: Solve for x
    x = 4,848,433.31/2,155
  6. Step 6: Final answer
    x = 2,249.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.