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Finding the Fourth Proportional to 6,274, 9,403.64 and 2,571.28

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Solution

The fourth proportional to 6,274, 9,403.64 and 2,571.28 is: 3,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 9,403.64 = 2,571.28 : x
  2. Step 2: Convert to fraction form
    6,274/9,403.64 = 2,571.28/x
  3. Step 3: Cross multiply
    6,274x = 9,403.64 × 2,571.28
  4. Step 4: Simplify right side
    6,274x = 24,179,391.46
  5. Step 5: Solve for x
    x = 24,179,391.46/6,274
  6. Step 6: Final answer
    x = 3,853.90

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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.