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Finding the Fourth Proportional to 12,775.70, 17,630.44 and 7,186.70

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Solution

The fourth proportional to 12,775.70, 17,630.44 and 7,186.70 is: 9,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.70 : 17,630.44 = 7,186.70 : x
  2. Step 2: Convert to fraction form
    12,775.70/17,630.44 = 7,186.70/x
  3. Step 3: Cross multiply
    12,775.70x = 17,630.44 × 7,186.70
  4. Step 4: Simplify right side
    12,775.70x = 126,704,683.15
  5. Step 5: Solve for x
    x = 126,704,683.15/12,775.70
  6. Step 6: Final answer
    x = 9,917.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.