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Finding the Fourth Proportional to 13,010.96, 17,949.48 and 8,817.68

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Solution

The fourth proportional to 13,010.96, 17,949.48 and 8,817.68 is: 12,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.96 : 17,949.48 = 8,817.68 : x
  2. Step 2: Convert to fraction form
    13,010.96/17,949.48 = 8,817.68/x
  3. Step 3: Cross multiply
    13,010.96x = 17,949.48 × 8,817.68
  4. Step 4: Simplify right side
    13,010.96x = 158,272,770.81
  5. Step 5: Solve for x
    x = 158,272,770.81/13,010.96
  6. Step 6: Final answer
    x = 12,164.57

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1.5x scale

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.