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Finding the Fourth Proportional to 19,138, 28,707.12 and 5,287.12

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Solution

The fourth proportional to 19,138, 28,707.12 and 5,287.12 is: 7,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138 : 28,707.12 = 5,287.12 : x
  2. Step 2: Convert to fraction form
    19,138/28,707.12 = 5,287.12/x
  3. Step 3: Cross multiply
    19,138x = 28,707.12 × 5,287.12
  4. Step 4: Simplify right side
    19,138x = 151,777,988.29
  5. Step 5: Solve for x
    x = 151,777,988.29/19,138
  6. Step 6: Final answer
    x = 7,930.71

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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.