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Finding the Fourth Proportional to 3,647, 5,459.16 and 3,530.36

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Solution

The fourth proportional to 3,647, 5,459.16 and 3,530.36 is: 5,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647 : 5,459.16 = 3,530.36 : x
  2. Step 2: Convert to fraction form
    3,647/5,459.16 = 3,530.36/x
  3. Step 3: Cross multiply
    3,647x = 5,459.16 × 3,530.36
  4. Step 4: Simplify right side
    3,647x = 19,272,800.10
  5. Step 5: Solve for x
    x = 19,272,800.10/3,647
  6. Step 6: Final answer
    x = 5,284.56

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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.