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Finding the Fourth Proportional to 12,873.28, 19,287.92 and 7,034

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Solution

The fourth proportional to 12,873.28, 19,287.92 and 7,034 is: 10,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.28 : 19,287.92 = 7,034 : x
  2. Step 2: Convert to fraction form
    12,873.28/19,287.92 = 7,034/x
  3. Step 3: Cross multiply
    12,873.28x = 19,287.92 × 7,034
  4. Step 4: Simplify right side
    12,873.28x = 135,671,229.28
  5. Step 5: Solve for x
    x = 135,671,229.28/12,873.28
  6. Step 6: Final answer
    x = 10,538.98

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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.