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Finding the Fourth Proportional to 19,993, 29,989.50 and 6,142

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Solution

The fourth proportional to 19,993, 29,989.50 and 6,142 is: 9,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 29,989.50 = 6,142 : x
  2. Step 2: Convert to fraction form
    19,993/29,989.50 = 6,142/x
  3. Step 3: Cross multiply
    19,993x = 29,989.50 × 6,142
  4. Step 4: Simplify right side
    19,993x = 184,195,509
  5. Step 5: Solve for x
    x = 184,195,509/19,993
  6. Step 6: Final answer
    x = 9,213

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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.