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Finding the Fourth Proportional to 47,786.32, 71,679.71 and 12,725.98

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Solution

The fourth proportional to 47,786.32, 71,679.71 and 12,725.98 is: 19,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,786.32 : 71,679.71 = 12,725.98 : x
  2. Step 2: Convert to fraction form
    47,786.32/71,679.71 = 12,725.98/x
  3. Step 3: Cross multiply
    47,786.32x = 71,679.71 × 12,725.98
  4. Step 4: Simplify right side
    47,786.32x = 912,194,313.04
  5. Step 5: Solve for x
    x = 912,194,313.04/47,786.32
  6. Step 6: Final answer
    x = 19,089.03

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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.