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Finding the Fourth Proportional to 13,002.74, 17,943.77 and 7,338.68

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Solution

The fourth proportional to 13,002.74, 17,943.77 and 7,338.68 is: 10,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.74 : 17,943.77 = 7,338.68 : x
  2. Step 2: Convert to fraction form
    13,002.74/17,943.77 = 7,338.68/x
  3. Step 3: Cross multiply
    13,002.74x = 17,943.77 × 7,338.68
  4. Step 4: Simplify right side
    13,002.74x = 131,683,459.61
  5. Step 5: Solve for x
    x = 131,683,459.61/13,002.74
  6. Step 6: Final answer
    x = 10,127.37

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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.