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Finding the Fourth Proportional to 13,527.70, 18,681 and 12,791.41

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Solution

The fourth proportional to 13,527.70, 18,681 and 12,791.41 is: 17,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.70 : 18,681 = 12,791.41 : x
  2. Step 2: Convert to fraction form
    13,527.70/18,681 = 12,791.41/x
  3. Step 3: Cross multiply
    13,527.70x = 18,681 × 12,791.41
  4. Step 4: Simplify right side
    13,527.70x = 238,956,330.21
  5. Step 5: Solve for x
    x = 238,956,330.21/13,527.70
  6. Step 6: Final answer
    x = 17,664.22

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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.