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Finding the Fourth Proportional to 9,783.50, 13,491.30 and 8,371.88

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Solution

The fourth proportional to 9,783.50, 13,491.30 and 8,371.88 is: 11,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.50 : 13,491.30 = 8,371.88 : x
  2. Step 2: Convert to fraction form
    9,783.50/13,491.30 = 8,371.88/x
  3. Step 3: Cross multiply
    9,783.50x = 13,491.30 × 8,371.88
  4. Step 4: Simplify right side
    9,783.50x = 112,947,477.19
  5. Step 5: Solve for x
    x = 112,947,477.19/9,783.50
  6. Step 6: Final answer
    x = 11,544.70

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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.