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Finding the Fourth Proportional to 19,616, 29,424 and 5,764.80

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Solution

The fourth proportional to 19,616, 29,424 and 5,764.80 is: 8,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 29,424 = 5,764.80 : x
  2. Step 2: Convert to fraction form
    19,616/29,424 = 5,764.80/x
  3. Step 3: Cross multiply
    19,616x = 29,424 × 5,764.80
  4. Step 4: Simplify right side
    19,616x = 169,623,475.20
  5. Step 5: Solve for x
    x = 169,623,475.20/19,616
  6. Step 6: Final answer
    x = 8,647.20

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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.