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Finding the Fourth Proportional to 2,992.80, 4,490.82 and 1,897.68

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Solution

The fourth proportional to 2,992.80, 4,490.82 and 1,897.68 is: 2,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.80 : 4,490.82 = 1,897.68 : x
  2. Step 2: Convert to fraction form
    2,992.80/4,490.82 = 1,897.68/x
  3. Step 3: Cross multiply
    2,992.80x = 4,490.82 × 1,897.68
  4. Step 4: Simplify right side
    2,992.80x = 8,522,139.30
  5. Step 5: Solve for x
    x = 8,522,139.30/2,992.80
  6. Step 6: Final answer
    x = 2,847.55

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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.