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Finding the Fourth Proportional to 20,964.53, 31,448.84 and 7,813.82

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Solution

The fourth proportional to 20,964.53, 31,448.84 and 7,813.82 is: 11,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.53 : 31,448.84 = 7,813.82 : x
  2. Step 2: Convert to fraction form
    20,964.53/31,448.84 = 7,813.82/x
  3. Step 3: Cross multiply
    20,964.53x = 31,448.84 × 7,813.82
  4. Step 4: Simplify right side
    20,964.53x = 245,735,614.52
  5. Step 5: Solve for x
    x = 245,735,614.52/20,964.53
  6. Step 6: Final answer
    x = 11,721.49

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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.