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Finding the Fourth Proportional to 2,846.87, 3,930.49 and 2,182.47

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Solution

The fourth proportional to 2,846.87, 3,930.49 and 2,182.47 is: 3,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.87 : 3,930.49 = 2,182.47 : x
  2. Step 2: Convert to fraction form
    2,846.87/3,930.49 = 2,182.47/x
  3. Step 3: Cross multiply
    2,846.87x = 3,930.49 × 2,182.47
  4. Step 4: Simplify right side
    2,846.87x = 8,578,156.86
  5. Step 5: Solve for x
    x = 8,578,156.86/2,846.87
  6. Step 6: Final answer
    x = 3,013.19

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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.