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Finding the Fourth Proportional to 15,668, 21,621.72 and 8,952.56

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Solution

The fourth proportional to 15,668, 21,621.72 and 8,952.56 is: 12,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668 : 21,621.72 = 8,952.56 : x
  2. Step 2: Convert to fraction form
    15,668/21,621.72 = 8,952.56/x
  3. Step 3: Cross multiply
    15,668x = 21,621.72 × 8,952.56
  4. Step 4: Simplify right side
    15,668x = 193,569,745.60
  5. Step 5: Solve for x
    x = 193,569,745.60/15,668
  6. Step 6: Final answer
    x = 12,354.46

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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.