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Finding the Fourth Proportional to 13,655.76, 18,844.74 and 7,687.41

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Solution

The fourth proportional to 13,655.76, 18,844.74 and 7,687.41 is: 10,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.76 : 18,844.74 = 7,687.41 : x
  2. Step 2: Convert to fraction form
    13,655.76/18,844.74 = 7,687.41/x
  3. Step 3: Cross multiply
    13,655.76x = 18,844.74 × 7,687.41
  4. Step 4: Simplify right side
    13,655.76x = 144,867,242.72
  5. Step 5: Solve for x
    x = 144,867,242.72/13,655.76
  6. Step 6: Final answer
    x = 10,608.51

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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.