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Finding the Fourth Proportional to 13,005.38, 17,947.56 and 7,037.17

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Solution

The fourth proportional to 13,005.38, 17,947.56 and 7,037.17 is: 9,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.38 : 17,947.56 = 7,037.17 : x
  2. Step 2: Convert to fraction form
    13,005.38/17,947.56 = 7,037.17/x
  3. Step 3: Cross multiply
    13,005.38x = 17,947.56 × 7,037.17
  4. Step 4: Simplify right side
    13,005.38x = 126,299,905.88
  5. Step 5: Solve for x
    x = 126,299,905.88/13,005.38
  6. Step 6: Final answer
    x = 9,711.36

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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.