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Finding the Fourth Proportional to 33,249, 45,883.68 and 18,345

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Solution

The fourth proportional to 33,249, 45,883.68 and 18,345 is: 25,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249 : 45,883.68 = 18,345 : x
  2. Step 2: Convert to fraction form
    33,249/45,883.68 = 18,345/x
  3. Step 3: Cross multiply
    33,249x = 45,883.68 × 18,345
  4. Step 4: Simplify right side
    33,249x = 841,736,109.60
  5. Step 5: Solve for x
    x = 841,736,109.60/33,249
  6. Step 6: Final answer
    x = 25,316.13

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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.