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Finding the Fourth Proportional to 2,296.86, 3,445.90 and 1,126.80

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Solution

The fourth proportional to 2,296.86, 3,445.90 and 1,126.80 is: 1,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.86 : 3,445.90 = 1,126.80 : x
  2. Step 2: Convert to fraction form
    2,296.86/3,445.90 = 1,126.80/x
  3. Step 3: Cross multiply
    2,296.86x = 3,445.90 × 1,126.80
  4. Step 4: Simplify right side
    2,296.86x = 3,882,840.12
  5. Step 5: Solve for x
    x = 3,882,840.12/2,296.86
  6. Step 6: Final answer
    x = 1,690.50

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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.