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Finding the Fourth Proportional to 11,366.87, 15,673.74 and 7,782.41

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Solution

The fourth proportional to 11,366.87, 15,673.74 and 7,782.41 is: 10,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.87 : 15,673.74 = 7,782.41 : x
  2. Step 2: Convert to fraction form
    11,366.87/15,673.74 = 7,782.41/x
  3. Step 3: Cross multiply
    11,366.87x = 15,673.74 × 7,782.41
  4. Step 4: Simplify right side
    11,366.87x = 121,979,480.91
  5. Step 5: Solve for x
    x = 121,979,480.91/11,366.87
  6. Step 6: Final answer
    x = 10,731.15

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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.