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Finding the Fourth Proportional to 12,015.30, 17,998.65 and 6,815.10

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Solution

The fourth proportional to 12,015.30, 17,998.65 and 6,815.10 is: 10,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.30 : 17,998.65 = 6,815.10 : x
  2. Step 2: Convert to fraction form
    12,015.30/17,998.65 = 6,815.10/x
  3. Step 3: Cross multiply
    12,015.30x = 17,998.65 × 6,815.10
  4. Step 4: Simplify right side
    12,015.30x = 122,662,599.62
  5. Step 5: Solve for x
    x = 122,662,599.62/12,015.30
  6. Step 6: Final answer
    x = 10,208.87

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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.