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Finding the Fourth Proportional to 13,665.88, 18,858.98 and 7,697.64

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Solution

The fourth proportional to 13,665.88, 18,858.98 and 7,697.64 is: 10,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.88 : 18,858.98 = 7,697.64 : x
  2. Step 2: Convert to fraction form
    13,665.88/18,858.98 = 7,697.64/x
  3. Step 3: Cross multiply
    13,665.88x = 18,858.98 × 7,697.64
  4. Step 4: Simplify right side
    13,665.88x = 145,169,671.76
  5. Step 5: Solve for x
    x = 145,169,671.76/13,665.88
  6. Step 6: Final answer
    x = 10,622.78

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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.