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Finding the Fourth Proportional to 8,500.69, 11,730.90 and 4,724.47

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Solution

The fourth proportional to 8,500.69, 11,730.90 and 4,724.47 is: 6,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.69 : 11,730.90 = 4,724.47 : x
  2. Step 2: Convert to fraction form
    8,500.69/11,730.90 = 4,724.47/x
  3. Step 3: Cross multiply
    8,500.69x = 11,730.90 × 4,724.47
  4. Step 4: Simplify right side
    8,500.69x = 55,422,285.12
  5. Step 5: Solve for x
    x = 55,422,285.12/8,500.69
  6. Step 6: Final answer
    x = 6,519.74

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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.