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Finding the Fourth Proportional to 11,730.21, 16,187.06 and 6,424.91

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Solution

The fourth proportional to 11,730.21, 16,187.06 and 6,424.91 is: 8,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.21 : 16,187.06 = 6,424.91 : x
  2. Step 2: Convert to fraction form
    11,730.21/16,187.06 = 6,424.91/x
  3. Step 3: Cross multiply
    11,730.21x = 16,187.06 × 6,424.91
  4. Step 4: Simplify right side
    11,730.21x = 104,000,290.60
  5. Step 5: Solve for x
    x = 104,000,290.60/11,730.21
  6. Step 6: Final answer
    x = 8,866.02

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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.