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Finding the Fourth Proportional to 21,992.80, 32,964.90 and 9,510.70

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Solution

The fourth proportional to 21,992.80, 32,964.90 and 9,510.70 is: 14,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.80 : 32,964.90 = 9,510.70 : x
  2. Step 2: Convert to fraction form
    21,992.80/32,964.90 = 9,510.70/x
  3. Step 3: Cross multiply
    21,992.80x = 32,964.90 × 9,510.70
  4. Step 4: Simplify right side
    21,992.80x = 313,519,274.43
  5. Step 5: Solve for x
    x = 313,519,274.43/21,992.80
  6. Step 6: Final answer
    x = 14,255.54

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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.