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Finding the Fourth Proportional to 10,110.84, 15,169.86 and 5,182.80

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Solution

The fourth proportional to 10,110.84, 15,169.86 and 5,182.80 is: 7,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110.84 : 15,169.86 = 5,182.80 : x
  2. Step 2: Convert to fraction form
    10,110.84/15,169.86 = 5,182.80/x
  3. Step 3: Cross multiply
    10,110.84x = 15,169.86 × 5,182.80
  4. Step 4: Simplify right side
    10,110.84x = 78,622,350.41
  5. Step 5: Solve for x
    x = 78,622,350.41/10,110.84
  6. Step 6: Final answer
    x = 7,776.05

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