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Finding the Fourth Proportional to 8,009.12, 12,015.30 and 2,815.40

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Solution

The fourth proportional to 8,009.12, 12,015.30 and 2,815.40 is: 4,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.12 : 12,015.30 = 2,815.40 : x
  2. Step 2: Convert to fraction form
    8,009.12/12,015.30 = 2,815.40/x
  3. Step 3: Cross multiply
    8,009.12x = 12,015.30 × 2,815.40
  4. Step 4: Simplify right side
    8,009.12x = 33,827,815.54
  5. Step 5: Solve for x
    x = 33,827,815.54/8,009.12
  6. Step 6: Final answer
    x = 4,223.66

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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.