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Finding the Fourth Proportional to 19,529, 29,298.50 and 5,678

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Solution

The fourth proportional to 19,529, 29,298.50 and 5,678 is: 8,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529 : 29,298.50 = 5,678 : x
  2. Step 2: Convert to fraction form
    19,529/29,298.50 = 5,678/x
  3. Step 3: Cross multiply
    19,529x = 29,298.50 × 5,678
  4. Step 4: Simplify right side
    19,529x = 166,356,883
  5. Step 5: Solve for x
    x = 166,356,883/19,529
  6. Step 6: Final answer
    x = 8,518.45

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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.