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Finding the Fourth Proportional to 15,711.44, 23,571 and 5,323.28

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Solution

The fourth proportional to 15,711.44, 23,571 and 5,323.28 is: 7,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.44 : 23,571 = 5,323.28 : x
  2. Step 2: Convert to fraction form
    15,711.44/23,571 = 5,323.28/x
  3. Step 3: Cross multiply
    15,711.44x = 23,571 × 5,323.28
  4. Step 4: Simplify right side
    15,711.44x = 125,475,032.88
  5. Step 5: Solve for x
    x = 125,475,032.88/15,711.44
  6. Step 6: Final answer
    x = 7,986.22

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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.