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Finding the Fourth Proportional to 19,690, 29,548.68 and 8,003.23

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Solution

The fourth proportional to 19,690, 29,548.68 and 8,003.23 is: 12,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690 : 29,548.68 = 8,003.23 : x
  2. Step 2: Convert to fraction form
    19,690/29,548.68 = 8,003.23/x
  3. Step 3: Cross multiply
    19,690x = 29,548.68 × 8,003.23
  4. Step 4: Simplify right side
    19,690x = 236,484,882.24
  5. Step 5: Solve for x
    x = 236,484,882.24/19,690
  6. Step 6: Final answer
    x = 12,010.41

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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.