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Finding the Fourth Proportional to 14,256, 19,672.92 and 7,968.42

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Solution

The fourth proportional to 14,256, 19,672.92 and 7,968.42 is: 10,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256 : 19,672.92 = 7,968.42 : x
  2. Step 2: Convert to fraction form
    14,256/19,672.92 = 7,968.42/x
  3. Step 3: Cross multiply
    14,256x = 19,672.92 × 7,968.42
  4. Step 4: Simplify right side
    14,256x = 156,762,089.19
  5. Step 5: Solve for x
    x = 156,762,089.19/14,256
  6. Step 6: Final answer
    x = 10,996.22

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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.