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Finding the Fourth Proportional to 33,489, 46,215.36 and 18,585

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Solution

The fourth proportional to 33,489, 46,215.36 and 18,585 is: 25,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489 : 46,215.36 = 18,585 : x
  2. Step 2: Convert to fraction form
    33,489/46,215.36 = 18,585/x
  3. Step 3: Cross multiply
    33,489x = 46,215.36 × 18,585
  4. Step 4: Simplify right side
    33,489x = 858,912,465.60
  5. Step 5: Solve for x
    x = 858,912,465.60/33,489
  6. Step 6: Final answer
    x = 25,647.60

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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.