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Finding the Fourth Proportional to 13,666.74, 18,860.22 and 7,697.24

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Solution

The fourth proportional to 13,666.74, 18,860.22 and 7,697.24 is: 10,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.74 : 18,860.22 = 7,697.24 : x
  2. Step 2: Convert to fraction form
    13,666.74/18,860.22 = 7,697.24/x
  3. Step 3: Cross multiply
    13,666.74x = 18,860.22 × 7,697.24
  4. Step 4: Simplify right side
    13,666.74x = 145,171,686.94
  5. Step 5: Solve for x
    x = 145,171,686.94/13,666.74
  6. Step 6: Final answer
    x = 10,622.26

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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.