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Finding the Fourth Proportional to 38,640.50, 57,965.70 and 10,938.50

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Solution

The fourth proportional to 38,640.50, 57,965.70 and 10,938.50 is: 16,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640.50 : 57,965.70 = 10,938.50 : x
  2. Step 2: Convert to fraction form
    38,640.50/57,965.70 = 10,938.50/x
  3. Step 3: Cross multiply
    38,640.50x = 57,965.70 × 10,938.50
  4. Step 4: Simplify right side
    38,640.50x = 634,057,809.45
  5. Step 5: Solve for x
    x = 634,057,809.45/38,640.50
  6. Step 6: Final answer
    x = 16,409.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.