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Finding the Fourth Proportional to 13,654.14, 18,844.53 and 7,686.98

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Solution

The fourth proportional to 13,654.14, 18,844.53 and 7,686.98 is: 10,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.14 : 18,844.53 = 7,686.98 : x
  2. Step 2: Convert to fraction form
    13,654.14/18,844.53 = 7,686.98/x
  3. Step 3: Cross multiply
    13,654.14x = 18,844.53 × 7,686.98
  4. Step 4: Simplify right side
    13,654.14x = 144,857,431.00
  5. Step 5: Solve for x
    x = 144,857,431.00/13,654.14
  6. Step 6: Final answer
    x = 10,609.05

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1.5x scale

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.