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Finding the Fourth Proportional to 8,814.51, 13,222.08 and 2,971.17

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Solution

The fourth proportional to 8,814.51, 13,222.08 and 2,971.17 is: 4,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.51 : 13,222.08 = 2,971.17 : x
  2. Step 2: Convert to fraction form
    8,814.51/13,222.08 = 2,971.17/x
  3. Step 3: Cross multiply
    8,814.51x = 13,222.08 × 2,971.17
  4. Step 4: Simplify right side
    8,814.51x = 39,285,047.43
  5. Step 5: Solve for x
    x = 39,285,047.43/8,814.51
  6. Step 6: Final answer
    x = 4,456.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.