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Finding the Fourth Proportional to 20,304.65, 30,462.17 and 7,821.33

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Solution

The fourth proportional to 20,304.65, 30,462.17 and 7,821.33 is: 11,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.65 : 30,462.17 = 7,821.33 : x
  2. Step 2: Convert to fraction form
    20,304.65/30,462.17 = 7,821.33/x
  3. Step 3: Cross multiply
    20,304.65x = 30,462.17 × 7,821.33
  4. Step 4: Simplify right side
    20,304.65x = 238,254,530.75
  5. Step 5: Solve for x
    x = 238,254,530.75/20,304.65
  6. Step 6: Final answer
    x = 11,733.99

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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.