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Finding the Fourth Proportional to 15,814.55, 21,824.16 and 8,644.48

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Solution

The fourth proportional to 15,814.55, 21,824.16 and 8,644.48 is: 11,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.55 : 21,824.16 = 8,644.48 : x
  2. Step 2: Convert to fraction form
    15,814.55/21,824.16 = 8,644.48/x
  3. Step 3: Cross multiply
    15,814.55x = 21,824.16 × 8,644.48
  4. Step 4: Simplify right side
    15,814.55x = 188,658,405.52
  5. Step 5: Solve for x
    x = 188,658,405.52/15,814.55
  6. Step 6: Final answer
    x = 11,929.42

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1.5x scale

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.