Home / 2,911-4,016.49-1,863.40

Finding the Fourth Proportional to 2,911, 4,016.49 and 1,863.40

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Solution

The fourth proportional to 2,911, 4,016.49 and 1,863.40 is: 2,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911 : 4,016.49 = 1,863.40 : x
  2. Step 2: Convert to fraction form
    2,911/4,016.49 = 1,863.40/x
  3. Step 3: Cross multiply
    2,911x = 4,016.49 × 1,863.40
  4. Step 4: Simplify right side
    2,911x = 7,484,327.47
  5. Step 5: Solve for x
    x = 7,484,327.47/2,911
  6. Step 6: Final answer
    x = 2,571.05

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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.