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Finding the Fourth Proportional to 5,104, 7,046.40 and 3,859.84

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Solution

The fourth proportional to 5,104, 7,046.40 and 3,859.84 is: 5,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104 : 7,046.40 = 3,859.84 : x
  2. Step 2: Convert to fraction form
    5,104/7,046.40 = 3,859.84/x
  3. Step 3: Cross multiply
    5,104x = 7,046.40 × 3,859.84
  4. Step 4: Simplify right side
    5,104x = 27,197,976.58
  5. Step 5: Solve for x
    x = 27,197,976.58/5,104
  6. Step 6: Final answer
    x = 5,328.76

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Why These Related Problems?

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