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Finding the Fourth Proportional to 8,582.86, 11,840.87 and 5,222.98

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Solution

The fourth proportional to 8,582.86, 11,840.87 and 5,222.98 is: 7,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.86 : 11,840.87 = 5,222.98 : x
  2. Step 2: Convert to fraction form
    8,582.86/11,840.87 = 5,222.98/x
  3. Step 3: Cross multiply
    8,582.86x = 11,840.87 × 5,222.98
  4. Step 4: Simplify right side
    8,582.86x = 61,844,541.87
  5. Step 5: Solve for x
    x = 61,844,541.87/8,582.86
  6. Step 6: Final answer
    x = 7,205.59

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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.