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Finding the Fourth Proportional to 13,052.95, 18,004.87 and 7,744

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Solution

The fourth proportional to 13,052.95, 18,004.87 and 7,744 is: 10,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.95 : 18,004.87 = 7,744 : x
  2. Step 2: Convert to fraction form
    13,052.95/18,004.87 = 7,744/x
  3. Step 3: Cross multiply
    13,052.95x = 18,004.87 × 7,744
  4. Step 4: Simplify right side
    13,052.95x = 139,429,674.56
  5. Step 5: Solve for x
    x = 139,429,674.56/13,052.95
  6. Step 6: Final answer
    x = 10,681.86

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Why These Related Problems?

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