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Finding the Fourth Proportional to 8,002.72, 11,054.40 and 7,257.44

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Solution

The fourth proportional to 8,002.72, 11,054.40 and 7,257.44 is: 10,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.72 : 11,054.40 = 7,257.44 : x
  2. Step 2: Convert to fraction form
    8,002.72/11,054.40 = 7,257.44/x
  3. Step 3: Cross multiply
    8,002.72x = 11,054.40 × 7,257.44
  4. Step 4: Simplify right side
    8,002.72x = 80,226,644.74
  5. Step 5: Solve for x
    x = 80,226,644.74/8,002.72
  6. Step 6: Final answer
    x = 10,024.92

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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.