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Finding the Fourth Proportional to 11,757.15, 17,612.64 and 6,816.40

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Solution

The fourth proportional to 11,757.15, 17,612.64 and 6,816.40 is: 10,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.15 : 17,612.64 = 6,816.40 : x
  2. Step 2: Convert to fraction form
    11,757.15/17,612.64 = 6,816.40/x
  3. Step 3: Cross multiply
    11,757.15x = 17,612.64 × 6,816.40
  4. Step 4: Simplify right side
    11,757.15x = 120,054,799.30
  5. Step 5: Solve for x
    x = 120,054,799.30/11,757.15
  6. Step 6: Final answer
    x = 10,211.22

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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.