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Finding the Fourth Proportional to 2,764.60, 3,812.16 and 1,878.64

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Solution

The fourth proportional to 2,764.60, 3,812.16 and 1,878.64 is: 2,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.60 : 3,812.16 = 1,878.64 : x
  2. Step 2: Convert to fraction form
    2,764.60/3,812.16 = 1,878.64/x
  3. Step 3: Cross multiply
    2,764.60x = 3,812.16 × 1,878.64
  4. Step 4: Simplify right side
    2,764.60x = 7,161,676.26
  5. Step 5: Solve for x
    x = 7,161,676.26/2,764.60
  6. Step 6: Final answer
    x = 2,590.49

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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.