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Finding the Fourth Proportional to 23,145, 34,723.38 and 6,729

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Solution

The fourth proportional to 23,145, 34,723.38 and 6,729 is: 10,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145 : 34,723.38 = 6,729 : x
  2. Step 2: Convert to fraction form
    23,145/34,723.38 = 6,729/x
  3. Step 3: Cross multiply
    23,145x = 34,723.38 × 6,729
  4. Step 4: Simplify right side
    23,145x = 233,653,624.02
  5. Step 5: Solve for x
    x = 233,653,624.02/23,145
  6. Step 6: Final answer
    x = 10,095.21

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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.