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Finding the Fourth Proportional to 19,393, 29,089.50 and 7,081

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Solution

The fourth proportional to 19,393, 29,089.50 and 7,081 is: 10,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,393 : 29,089.50 = 7,081 : x
  2. Step 2: Convert to fraction form
    19,393/29,089.50 = 7,081/x
  3. Step 3: Cross multiply
    19,393x = 29,089.50 × 7,081
  4. Step 4: Simplify right side
    19,393x = 205,982,749.50
  5. Step 5: Solve for x
    x = 205,982,749.50/19,393
  6. Step 6: Final answer
    x = 10,621.50

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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.