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Finding the Fourth Proportional to 15,717, 23,570.82 and 7,392.36

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Solution

The fourth proportional to 15,717, 23,570.82 and 7,392.36 is: 11,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717 : 23,570.82 = 7,392.36 : x
  2. Step 2: Convert to fraction form
    15,717/23,570.82 = 7,392.36/x
  3. Step 3: Cross multiply
    15,717x = 23,570.82 × 7,392.36
  4. Step 4: Simplify right side
    15,717x = 174,243,986.94
  5. Step 5: Solve for x
    x = 174,243,986.94/15,717
  6. Step 6: Final answer
    x = 11,086.34

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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.