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Finding the Fourth Proportional to 2,853.64, 4,281.18 and 2,788.84

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Solution

The fourth proportional to 2,853.64, 4,281.18 and 2,788.84 is: 4,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.64 : 4,281.18 = 2,788.84 : x
  2. Step 2: Convert to fraction form
    2,853.64/4,281.18 = 2,788.84/x
  3. Step 3: Cross multiply
    2,853.64x = 4,281.18 × 2,788.84
  4. Step 4: Simplify right side
    2,853.64x = 11,939,526.03
  5. Step 5: Solve for x
    x = 11,939,526.03/2,853.64
  6. Step 6: Final answer
    x = 4,183.96

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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.