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Finding the Fourth Proportional to 11,975.76, 17,963.52 and 3,211.20

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Solution

The fourth proportional to 11,975.76, 17,963.52 and 3,211.20 is: 4,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.76 : 17,963.52 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    11,975.76/17,963.52 = 3,211.20/x
  3. Step 3: Cross multiply
    11,975.76x = 17,963.52 × 3,211.20
  4. Step 4: Simplify right side
    11,975.76x = 57,684,455.42
  5. Step 5: Solve for x
    x = 57,684,455.42/11,975.76
  6. Step 6: Final answer
    x = 4,816.77

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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.