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Finding the Fourth Proportional to 13,970.97, 20,956.46 and 6,578.37

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Solution

The fourth proportional to 13,970.97, 20,956.46 and 6,578.37 is: 9,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.97 : 20,956.46 = 6,578.37 : x
  2. Step 2: Convert to fraction form
    13,970.97/20,956.46 = 6,578.37/x
  3. Step 3: Cross multiply
    13,970.97x = 20,956.46 × 6,578.37
  4. Step 4: Simplify right side
    13,970.97x = 137,859,347.77
  5. Step 5: Solve for x
    x = 137,859,347.77/13,970.97
  6. Step 6: Final answer
    x = 9,867.56

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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.