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Finding the Fourth Proportional to 33,654, 46,442.70 and 18,750

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Solution

The fourth proportional to 33,654, 46,442.70 and 18,750 is: 25,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,654 : 46,442.70 = 18,750 : x
  2. Step 2: Convert to fraction form
    33,654/46,442.70 = 18,750/x
  3. Step 3: Cross multiply
    33,654x = 46,442.70 × 18,750
  4. Step 4: Simplify right side
    33,654x = 870,800,625
  5. Step 5: Solve for x
    x = 870,800,625/33,654
  6. Step 6: Final answer
    x = 25,875.10

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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.