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Finding the Fourth Proportional to 8,562.72, 11,815.92 and 5,772

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Solution

The fourth proportional to 8,562.72, 11,815.92 and 5,772 is: 7,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.72 : 11,815.92 = 5,772 : x
  2. Step 2: Convert to fraction form
    8,562.72/11,815.92 = 5,772/x
  3. Step 3: Cross multiply
    8,562.72x = 11,815.92 × 5,772
  4. Step 4: Simplify right side
    8,562.72x = 68,201,490.24
  5. Step 5: Solve for x
    x = 68,201,490.24/8,562.72
  6. Step 6: Final answer
    x = 7,964.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.