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Finding the Fourth Proportional to 33,222, 45,846.36 and 20,646.72

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Solution

The fourth proportional to 33,222, 45,846.36 and 20,646.72 is: 28,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222 : 45,846.36 = 20,646.72 : x
  2. Step 2: Convert to fraction form
    33,222/45,846.36 = 20,646.72/x
  3. Step 3: Cross multiply
    33,222x = 45,846.36 × 20,646.72
  4. Step 4: Simplify right side
    33,222x = 946,576,957.94
  5. Step 5: Solve for x
    x = 946,576,957.94/33,222
  6. Step 6: Final answer
    x = 28,492.47

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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.