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Finding the Fourth Proportional to 3,365, 5,051.55 and 2,428.64

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Solution

The fourth proportional to 3,365, 5,051.55 and 2,428.64 is: 3,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365 : 5,051.55 = 2,428.64 : x
  2. Step 2: Convert to fraction form
    3,365/5,051.55 = 2,428.64/x
  3. Step 3: Cross multiply
    3,365x = 5,051.55 × 2,428.64
  4. Step 4: Simplify right side
    3,365x = 12,268,396.39
  5. Step 5: Solve for x
    x = 12,268,396.39/3,365
  6. Step 6: Final answer
    x = 3,645.88

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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.