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Finding the Fourth Proportional to 8,044.80, 11,096.37 and 6,552.78

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Solution

The fourth proportional to 8,044.80, 11,096.37 and 6,552.78 is: 9,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.80 : 11,096.37 = 6,552.78 : x
  2. Step 2: Convert to fraction form
    8,044.80/11,096.37 = 6,552.78/x
  3. Step 3: Cross multiply
    8,044.80x = 11,096.37 × 6,552.78
  4. Step 4: Simplify right side
    8,044.80x = 72,712,071.41
  5. Step 5: Solve for x
    x = 72,712,071.41/8,044.80
  6. Step 6: Final answer
    x = 9,038.39

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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.