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Finding the Fourth Proportional to 47,675.58, 71,516.88 and 12,615

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Solution

The fourth proportional to 47,675.58, 71,516.88 and 12,615 is: 18,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675.58 : 71,516.88 = 12,615 : x
  2. Step 2: Convert to fraction form
    47,675.58/71,516.88 = 12,615/x
  3. Step 3: Cross multiply
    47,675.58x = 71,516.88 × 12,615
  4. Step 4: Simplify right side
    47,675.58x = 902,185,441.20
  5. Step 5: Solve for x
    x = 902,185,441.20/47,675.58
  6. Step 6: Final answer
    x = 18,923.43

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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.