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Finding the Fourth Proportional to 21,174.84, 31,729.14 and 8,020.08

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Solution

The fourth proportional to 21,174.84, 31,729.14 and 8,020.08 is: 12,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.84 : 31,729.14 = 8,020.08 : x
  2. Step 2: Convert to fraction form
    21,174.84/31,729.14 = 8,020.08/x
  3. Step 3: Cross multiply
    21,174.84x = 31,729.14 × 8,020.08
  4. Step 4: Simplify right side
    21,174.84x = 254,470,241.13
  5. Step 5: Solve for x
    x = 254,470,241.13/21,174.84
  6. Step 6: Final answer
    x = 12,017.58

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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.