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Finding the Fourth Proportional to 13,425.44, 18,527.68 and 7,760

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Solution

The fourth proportional to 13,425.44, 18,527.68 and 7,760 is: 10,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.44 : 18,527.68 = 7,760 : x
  2. Step 2: Convert to fraction form
    13,425.44/18,527.68 = 7,760/x
  3. Step 3: Cross multiply
    13,425.44x = 18,527.68 × 7,760
  4. Step 4: Simplify right side
    13,425.44x = 143,774,796.80
  5. Step 5: Solve for x
    x = 143,774,796.80/13,425.44
  6. Step 6: Final answer
    x = 10,709.13

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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.