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Finding the Fourth Proportional to 3,640.05, 5,460.62 and 1,174.05

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Solution

The fourth proportional to 3,640.05, 5,460.62 and 1,174.05 is: 1,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.05 : 5,460.62 = 1,174.05 : x
  2. Step 2: Convert to fraction form
    3,640.05/5,460.62 = 1,174.05/x
  3. Step 3: Cross multiply
    3,640.05x = 5,460.62 × 1,174.05
  4. Step 4: Simplify right side
    3,640.05x = 6,411,035.04
  5. Step 5: Solve for x
    x = 6,411,035.04/3,640.05
  6. Step 6: Final answer
    x = 1,761.25

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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.