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Finding the Fourth Proportional to 3,658.78, 5,486.62 and 1,406.94

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Solution

The fourth proportional to 3,658.78, 5,486.62 and 1,406.94 is: 2,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.78 : 5,486.62 = 1,406.94 : x
  2. Step 2: Convert to fraction form
    3,658.78/5,486.62 = 1,406.94/x
  3. Step 3: Cross multiply
    3,658.78x = 5,486.62 × 1,406.94
  4. Step 4: Simplify right side
    3,658.78x = 7,719,345.14
  5. Step 5: Solve for x
    x = 7,719,345.14/3,658.78
  6. Step 6: Final answer
    x = 2,109.81

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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.