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Finding the Fourth Proportional to 21,174.76, 31,763.10 and 7,324.84

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Solution

The fourth proportional to 21,174.76, 31,763.10 and 7,324.84 is: 10,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.76 : 31,763.10 = 7,324.84 : x
  2. Step 2: Convert to fraction form
    21,174.76/31,763.10 = 7,324.84/x
  3. Step 3: Cross multiply
    21,174.76x = 31,763.10 × 7,324.84
  4. Step 4: Simplify right side
    21,174.76x = 232,659,625.40
  5. Step 5: Solve for x
    x = 232,659,625.40/21,174.76
  6. Step 6: Final answer
    x = 10,987.59

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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.