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Finding the Fourth Proportional to 12,654.75, 18,982.08 and 7,108.14

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Solution

The fourth proportional to 12,654.75, 18,982.08 and 7,108.14 is: 10,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.75 : 18,982.08 = 7,108.14 : x
  2. Step 2: Convert to fraction form
    12,654.75/18,982.08 = 7,108.14/x
  3. Step 3: Cross multiply
    12,654.75x = 18,982.08 × 7,108.14
  4. Step 4: Simplify right side
    12,654.75x = 134,927,282.13
  5. Step 5: Solve for x
    x = 134,927,282.13/12,654.75
  6. Step 6: Final answer
    x = 10,662.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.