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Finding the Fourth Proportional to 13,938, 19,236.87 and 7,969.92

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Solution

The fourth proportional to 13,938, 19,236.87 and 7,969.92 is: 10,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938 : 19,236.87 = 7,969.92 : x
  2. Step 2: Convert to fraction form
    13,938/19,236.87 = 7,969.92/x
  3. Step 3: Cross multiply
    13,938x = 19,236.87 × 7,969.92
  4. Step 4: Simplify right side
    13,938x = 153,316,314.95
  5. Step 5: Solve for x
    x = 153,316,314.95/13,938
  6. Step 6: Final answer
    x = 10,999.88

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1.5x scale

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.