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Finding the Fourth Proportional to 14,679.76, 21,964.46 and 8,734.76

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Solution

The fourth proportional to 14,679.76, 21,964.46 and 8,734.76 is: 13,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679.76 : 21,964.46 = 8,734.76 : x
  2. Step 2: Convert to fraction form
    14,679.76/21,964.46 = 8,734.76/x
  3. Step 3: Cross multiply
    14,679.76x = 21,964.46 × 8,734.76
  4. Step 4: Simplify right side
    14,679.76x = 191,854,286.63
  5. Step 5: Solve for x
    x = 191,854,286.63/14,679.76
  6. Step 6: Final answer
    x = 13,069.31

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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.