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Finding the Fourth Proportional to 2,163.82, 2,979.78 and 1,880.10

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Solution

The fourth proportional to 2,163.82, 2,979.78 and 1,880.10 is: 2,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.82 : 2,979.78 = 1,880.10 : x
  2. Step 2: Convert to fraction form
    2,163.82/2,979.78 = 1,880.10/x
  3. Step 3: Cross multiply
    2,163.82x = 2,979.78 × 1,880.10
  4. Step 4: Simplify right side
    2,163.82x = 5,602,284.38
  5. Step 5: Solve for x
    x = 5,602,284.38/2,163.82
  6. Step 6: Final answer
    x = 2,589.07

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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.