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Finding the Fourth Proportional to 3,903.99, 5,842 and 3,643.30

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Solution

The fourth proportional to 3,903.99, 5,842 and 3,643.30 is: 5,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.99 : 5,842 = 3,643.30 : x
  2. Step 2: Convert to fraction form
    3,903.99/5,842 = 3,643.30/x
  3. Step 3: Cross multiply
    3,903.99x = 5,842 × 3,643.30
  4. Step 4: Simplify right side
    3,903.99x = 21,284,158.60
  5. Step 5: Solve for x
    x = 21,284,158.60/3,903.99
  6. Step 6: Final answer
    x = 5,451.90

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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.