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Finding the Fourth Proportional to 2,495.05, 3,742.05 and 1,261.30

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Solution

The fourth proportional to 2,495.05, 3,742.05 and 1,261.30 is: 1,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.05 : 3,742.05 = 1,261.30 : x
  2. Step 2: Convert to fraction form
    2,495.05/3,742.05 = 1,261.30/x
  3. Step 3: Cross multiply
    2,495.05x = 3,742.05 × 1,261.30
  4. Step 4: Simplify right side
    2,495.05x = 4,719,847.67
  5. Step 5: Solve for x
    x = 4,719,847.67/2,495.05
  6. Step 6: Final answer
    x = 1,891.68

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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.