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Finding the Fourth Proportional to 13,005.73, 17,947.78 and 7,037.27

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Solution

The fourth proportional to 13,005.73, 17,947.78 and 7,037.27 is: 9,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.73 : 17,947.78 = 7,037.27 : x
  2. Step 2: Convert to fraction form
    13,005.73/17,947.78 = 7,037.27/x
  3. Step 3: Cross multiply
    13,005.73x = 17,947.78 × 7,037.27
  4. Step 4: Simplify right side
    13,005.73x = 126,303,373.76
  5. Step 5: Solve for x
    x = 126,303,373.76/13,005.73
  6. Step 6: Final answer
    x = 9,711.36

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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.