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Finding the Fourth Proportional to 19,657.85, 29,500.47 and 8,558.82

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Solution

The fourth proportional to 19,657.85, 29,500.47 and 8,558.82 is: 12,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.85 : 29,500.47 = 8,558.82 : x
  2. Step 2: Convert to fraction form
    19,657.85/29,500.47 = 8,558.82/x
  3. Step 3: Cross multiply
    19,657.85x = 29,500.47 × 8,558.82
  4. Step 4: Simplify right side
    19,657.85x = 252,489,212.65
  5. Step 5: Solve for x
    x = 252,489,212.65/19,657.85
  6. Step 6: Final answer
    x = 12,844.20

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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.