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Finding the Fourth Proportional to 13,655.14, 18,845.91 and 7,687.98

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Solution

The fourth proportional to 13,655.14, 18,845.91 and 7,687.98 is: 10,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.14 : 18,845.91 = 7,687.98 : x
  2. Step 2: Convert to fraction form
    13,655.14/18,845.91 = 7,687.98/x
  3. Step 3: Cross multiply
    13,655.14x = 18,845.91 × 7,687.98
  4. Step 4: Simplify right side
    13,655.14x = 144,886,979.16
  5. Step 5: Solve for x
    x = 144,886,979.16/13,655.14
  6. Step 6: Final answer
    x = 10,610.44

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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.