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Finding the Fourth Proportional to 13,027.52, 17,977.56 and 7,438.52

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Solution

The fourth proportional to 13,027.52, 17,977.56 and 7,438.52 is: 10,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.52 : 17,977.56 = 7,438.52 : x
  2. Step 2: Convert to fraction form
    13,027.52/17,977.56 = 7,438.52/x
  3. Step 3: Cross multiply
    13,027.52x = 17,977.56 × 7,438.52
  4. Step 4: Simplify right side
    13,027.52x = 133,726,439.61
  5. Step 5: Solve for x
    x = 133,726,439.61/13,027.52
  6. Step 6: Final answer
    x = 10,264.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.