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Finding the Fourth Proportional to 8,167.98, 11,271.80 and 4,981.27

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Solution

The fourth proportional to 8,167.98, 11,271.80 and 4,981.27 is: 6,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.98 : 11,271.80 = 4,981.27 : x
  2. Step 2: Convert to fraction form
    8,167.98/11,271.80 = 4,981.27/x
  3. Step 3: Cross multiply
    8,167.98x = 11,271.80 × 4,981.27
  4. Step 4: Simplify right side
    8,167.98x = 56,147,879.19
  5. Step 5: Solve for x
    x = 56,147,879.19/8,167.98
  6. Step 6: Final answer
    x = 6,874.15

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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.