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Finding the Fourth Proportional to 19,758.63, 29,630.21 and 8,657.56

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Solution

The fourth proportional to 19,758.63, 29,630.21 and 8,657.56 is: 12,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.63 : 29,630.21 = 8,657.56 : x
  2. Step 2: Convert to fraction form
    19,758.63/29,630.21 = 8,657.56/x
  3. Step 3: Cross multiply
    19,758.63x = 29,630.21 × 8,657.56
  4. Step 4: Simplify right side
    19,758.63x = 256,525,231.30
  5. Step 5: Solve for x
    x = 256,525,231.30/19,758.63
  6. Step 6: Final answer
    x = 12,982.94

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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.