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Finding the Fourth Proportional to 12,015.80, 17,999.40 and 6,815.60

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Solution

The fourth proportional to 12,015.80, 17,999.40 and 6,815.60 is: 10,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.80 : 17,999.40 = 6,815.60 : x
  2. Step 2: Convert to fraction form
    12,015.80/17,999.40 = 6,815.60/x
  3. Step 3: Cross multiply
    12,015.80x = 17,999.40 × 6,815.60
  4. Step 4: Simplify right side
    12,015.80x = 122,676,710.64
  5. Step 5: Solve for x
    x = 122,676,710.64/12,015.80
  6. Step 6: Final answer
    x = 10,209.62

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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.