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Finding the Fourth Proportional to 19,721, 29,581.50 and 5,129

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Solution

The fourth proportional to 19,721, 29,581.50 and 5,129 is: 7,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721 : 29,581.50 = 5,129 : x
  2. Step 2: Convert to fraction form
    19,721/29,581.50 = 5,129/x
  3. Step 3: Cross multiply
    19,721x = 29,581.50 × 5,129
  4. Step 4: Simplify right side
    19,721x = 151,723,513.50
  5. Step 5: Solve for x
    x = 151,723,513.50/19,721
  6. Step 6: Final answer
    x = 7,693.50

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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.