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Finding the Fourth Proportional to 3,655.69, 5,486.12 and 1,464.91

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Solution

The fourth proportional to 3,655.69, 5,486.12 and 1,464.91 is: 2,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.69 : 5,486.12 = 1,464.91 : x
  2. Step 2: Convert to fraction form
    3,655.69/5,486.12 = 1,464.91/x
  3. Step 3: Cross multiply
    3,655.69x = 5,486.12 × 1,464.91
  4. Step 4: Simplify right side
    3,655.69x = 8,036,672.05
  5. Step 5: Solve for x
    x = 8,036,672.05/3,655.69
  6. Step 6: Final answer
    x = 2,198.40

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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.