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Finding the Fourth Proportional to 19,931.82, 29,900.97 and 6,782.82

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Solution

The fourth proportional to 19,931.82, 29,900.97 and 6,782.82 is: 10,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931.82 : 29,900.97 = 6,782.82 : x
  2. Step 2: Convert to fraction form
    19,931.82/29,900.97 = 6,782.82/x
  3. Step 3: Cross multiply
    19,931.82x = 29,900.97 × 6,782.82
  4. Step 4: Simplify right side
    19,931.82x = 202,812,897.34
  5. Step 5: Solve for x
    x = 202,812,897.34/19,931.82
  6. Step 6: Final answer
    x = 10,175.33

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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.