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Finding the Fourth Proportional to 1,884.91, 2,829.09 and 961.13

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Solution

The fourth proportional to 1,884.91, 2,829.09 and 961.13 is: 1,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.91 : 2,829.09 = 961.13 : x
  2. Step 2: Convert to fraction form
    1,884.91/2,829.09 = 961.13/x
  3. Step 3: Cross multiply
    1,884.91x = 2,829.09 × 961.13
  4. Step 4: Simplify right side
    1,884.91x = 2,719,123.27
  5. Step 5: Solve for x
    x = 2,719,123.27/1,884.91
  6. Step 6: Final answer
    x = 1,442.57

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1.5x scale

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.