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Finding the Fourth Proportional to 13,765.86, 18,997.02 and 7,478.28

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Solution

The fourth proportional to 13,765.86, 18,997.02 and 7,478.28 is: 10,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.86 : 18,997.02 = 7,478.28 : x
  2. Step 2: Convert to fraction form
    13,765.86/18,997.02 = 7,478.28/x
  3. Step 3: Cross multiply
    13,765.86x = 18,997.02 × 7,478.28
  4. Step 4: Simplify right side
    13,765.86x = 142,065,034.73
  5. Step 5: Solve for x
    x = 142,065,034.73/13,765.86
  6. Step 6: Final answer
    x = 10,320.10

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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.