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Finding the Fourth Proportional to 33,216, 45,838.08 and 18,312

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Solution

The fourth proportional to 33,216, 45,838.08 and 18,312 is: 25,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216 : 45,838.08 = 18,312 : x
  2. Step 2: Convert to fraction form
    33,216/45,838.08 = 18,312/x
  3. Step 3: Cross multiply
    33,216x = 45,838.08 × 18,312
  4. Step 4: Simplify right side
    33,216x = 839,386,920.96
  5. Step 5: Solve for x
    x = 839,386,920.96/33,216
  6. Step 6: Final answer
    x = 25,270.56

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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.