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Finding the Fourth Proportional to 8,559.88, 11,812 and 5,022.60

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Solution

The fourth proportional to 8,559.88, 11,812 and 5,022.60 is: 6,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.88 : 11,812 = 5,022.60 : x
  2. Step 2: Convert to fraction form
    8,559.88/11,812 = 5,022.60/x
  3. Step 3: Cross multiply
    8,559.88x = 11,812 × 5,022.60
  4. Step 4: Simplify right side
    8,559.88x = 59,326,951.20
  5. Step 5: Solve for x
    x = 59,326,951.20/8,559.88
  6. Step 6: Final answer
    x = 6,930.82

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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.