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Finding the Fourth Proportional to 13,078, 18,047.82 and 7,489

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Solution

The fourth proportional to 13,078, 18,047.82 and 7,489 is: 10,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078 : 18,047.82 = 7,489 : x
  2. Step 2: Convert to fraction form
    13,078/18,047.82 = 7,489/x
  3. Step 3: Cross multiply
    13,078x = 18,047.82 × 7,489
  4. Step 4: Simplify right side
    13,078x = 135,160,123.98
  5. Step 5: Solve for x
    x = 135,160,123.98/13,078
  6. Step 6: Final answer
    x = 10,334.92

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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.