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Finding the Fourth Proportional to 51,724, 71,379.12 and 28,172

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Solution

The fourth proportional to 51,724, 71,379.12 and 28,172 is: 38,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,724 : 71,379.12 = 28,172 : x
  2. Step 2: Convert to fraction form
    51,724/71,379.12 = 28,172/x
  3. Step 3: Cross multiply
    51,724x = 71,379.12 × 28,172
  4. Step 4: Simplify right side
    51,724x = 2,010,892,568.64
  5. Step 5: Solve for x
    x = 2,010,892,568.64/51,724
  6. Step 6: Final answer
    x = 38,877.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.