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Finding the Fourth Proportional to 32,418, 44,735.72 and 18,270

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Solution

The fourth proportional to 32,418, 44,735.72 and 18,270 is: 25,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418 : 44,735.72 = 18,270 : x
  2. Step 2: Convert to fraction form
    32,418/44,735.72 = 18,270/x
  3. Step 3: Cross multiply
    32,418x = 44,735.72 × 18,270
  4. Step 4: Simplify right side
    32,418x = 817,321,604.40
  5. Step 5: Solve for x
    x = 817,321,604.40/32,418
  6. Step 6: Final answer
    x = 25,211.97

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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.