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Finding the Fourth Proportional to 8,971.50, 13,457.97 and 2,815.50

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Solution

The fourth proportional to 8,971.50, 13,457.97 and 2,815.50 is: 4,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.50 : 13,457.97 = 2,815.50 : x
  2. Step 2: Convert to fraction form
    8,971.50/13,457.97 = 2,815.50/x
  3. Step 3: Cross multiply
    8,971.50x = 13,457.97 × 2,815.50
  4. Step 4: Simplify right side
    8,971.50x = 37,890,914.54
  5. Step 5: Solve for x
    x = 37,890,914.54/8,971.50
  6. Step 6: Final answer
    x = 4,223.48

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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.