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Finding the Fourth Proportional to 33,306, 45,965.64 and 18,402

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Solution

The fourth proportional to 33,306, 45,965.64 and 18,402 is: 25,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306 : 45,965.64 = 18,402 : x
  2. Step 2: Convert to fraction form
    33,306/45,965.64 = 18,402/x
  3. Step 3: Cross multiply
    33,306x = 45,965.64 × 18,402
  4. Step 4: Simplify right side
    33,306x = 845,859,707.28
  5. Step 5: Solve for x
    x = 845,859,707.28/33,306
  6. Step 6: Final answer
    x = 25,396.62

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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.