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Finding the Fourth Proportional to 28,658.56, 42,997.92 and 8,942.08

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Solution

The fourth proportional to 28,658.56, 42,997.92 and 8,942.08 is: 13,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.56 : 42,997.92 = 8,942.08 : x
  2. Step 2: Convert to fraction form
    28,658.56/42,997.92 = 8,942.08/x
  3. Step 3: Cross multiply
    28,658.56x = 42,997.92 × 8,942.08
  4. Step 4: Simplify right side
    28,658.56x = 384,490,840.47
  5. Step 5: Solve for x
    x = 384,490,840.47/28,658.56
  6. Step 6: Final answer
    x = 13,416.27

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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.