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Finding the Fourth Proportional to 2,796.40, 3,861.84 and 2,303.92

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Solution

The fourth proportional to 2,796.40, 3,861.84 and 2,303.92 is: 3,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.40 : 3,861.84 = 2,303.92 : x
  2. Step 2: Convert to fraction form
    2,796.40/3,861.84 = 2,303.92/x
  3. Step 3: Cross multiply
    2,796.40x = 3,861.84 × 2,303.92
  4. Step 4: Simplify right side
    2,796.40x = 8,897,370.41
  5. Step 5: Solve for x
    x = 8,897,370.41/2,796.40
  6. Step 6: Final answer
    x = 3,181.72

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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.