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Finding the Fourth Proportional to 8,509.66, 11,731.02 and 5,633.57

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Solution

The fourth proportional to 8,509.66, 11,731.02 and 5,633.57 is: 7,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.66 : 11,731.02 = 5,633.57 : x
  2. Step 2: Convert to fraction form
    8,509.66/11,731.02 = 5,633.57/x
  3. Step 3: Cross multiply
    8,509.66x = 11,731.02 × 5,633.57
  4. Step 4: Simplify right side
    8,509.66x = 66,087,435.52
  5. Step 5: Solve for x
    x = 66,087,435.52/8,509.66
  6. Step 6: Final answer
    x = 7,766.17

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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.