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Finding the Fourth Proportional to 8,123.60, 11,202 and 5,288.80

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Solution

The fourth proportional to 8,123.60, 11,202 and 5,288.80 is: 7,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.60 : 11,202 = 5,288.80 : x
  2. Step 2: Convert to fraction form
    8,123.60/11,202 = 5,288.80/x
  3. Step 3: Cross multiply
    8,123.60x = 11,202 × 5,288.80
  4. Step 4: Simplify right side
    8,123.60x = 59,245,137.60
  5. Step 5: Solve for x
    x = 59,245,137.60/8,123.60
  6. Step 6: Final answer
    x = 7,292.97

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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.