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Finding the Fourth Proportional to 38,376.32, 52,960 and 21,609.60

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Solution

The fourth proportional to 38,376.32, 52,960 and 21,609.60 is: 29,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376.32 : 52,960 = 21,609.60 : x
  2. Step 2: Convert to fraction form
    38,376.32/52,960 = 21,609.60/x
  3. Step 3: Cross multiply
    38,376.32x = 52,960 × 21,609.60
  4. Step 4: Simplify right side
    38,376.32x = 1,144,444,416
  5. Step 5: Solve for x
    x = 1,144,444,416/38,376.32
  6. Step 6: Final answer
    x = 29,821.63

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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.