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Finding the Fourth Proportional to 2,654.91, 3,978.11 and 1,924.90

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Solution

The fourth proportional to 2,654.91, 3,978.11 and 1,924.90 is: 2,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.91 : 3,978.11 = 1,924.90 : x
  2. Step 2: Convert to fraction form
    2,654.91/3,978.11 = 1,924.90/x
  3. Step 3: Cross multiply
    2,654.91x = 3,978.11 × 1,924.90
  4. Step 4: Simplify right side
    2,654.91x = 7,657,458.81
  5. Step 5: Solve for x
    x = 7,657,458.81/2,654.91
  6. Step 6: Final answer
    x = 2,884.26

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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.