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Finding the Fourth Proportional to 3,643.96, 5,459.28 and 1,907.32

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Solution

The fourth proportional to 3,643.96, 5,459.28 and 1,907.32 is: 2,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.96 : 5,459.28 = 1,907.32 : x
  2. Step 2: Convert to fraction form
    3,643.96/5,459.28 = 1,907.32/x
  3. Step 3: Cross multiply
    3,643.96x = 5,459.28 × 1,907.32
  4. Step 4: Simplify right side
    3,643.96x = 10,412,593.93
  5. Step 5: Solve for x
    x = 10,412,593.93/3,643.96
  6. Step 6: Final answer
    x = 2,857.49

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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.