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Finding the Fourth Proportional to 5,903.15, 8,142.14 and 3,805.25

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Solution

The fourth proportional to 5,903.15, 8,142.14 and 3,805.25 is: 5,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.15 : 8,142.14 = 3,805.25 : x
  2. Step 2: Convert to fraction form
    5,903.15/8,142.14 = 3,805.25/x
  3. Step 3: Cross multiply
    5,903.15x = 8,142.14 × 3,805.25
  4. Step 4: Simplify right side
    5,903.15x = 30,982,859.21
  5. Step 5: Solve for x
    x = 30,982,859.21/5,903.15
  6. Step 6: Final answer
    x = 5,248.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.