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Finding the Fourth Proportional to 33,670, 46,459.12 and 20,238

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Solution

The fourth proportional to 33,670, 46,459.12 and 20,238 is: 27,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670 : 46,459.12 = 20,238 : x
  2. Step 2: Convert to fraction form
    33,670/46,459.12 = 20,238/x
  3. Step 3: Cross multiply
    33,670x = 46,459.12 × 20,238
  4. Step 4: Simplify right side
    33,670x = 940,239,670.56
  5. Step 5: Solve for x
    x = 940,239,670.56/33,670
  6. Step 6: Final answer
    x = 27,925.15

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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.