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Finding the Fourth Proportional to 10,665.96, 14,721.66 and 6,477.72

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Solution

The fourth proportional to 10,665.96, 14,721.66 and 6,477.72 is: 8,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.96 : 14,721.66 = 6,477.72 : x
  2. Step 2: Convert to fraction form
    10,665.96/14,721.66 = 6,477.72/x
  3. Step 3: Cross multiply
    10,665.96x = 14,721.66 × 6,477.72
  4. Step 4: Simplify right side
    10,665.96x = 95,362,791.42
  5. Step 5: Solve for x
    x = 95,362,791.42/10,665.96
  6. Step 6: Final answer
    x = 8,940.85

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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.