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Finding the Fourth Proportional to 10,620, 15,933.84 and 3,324

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Solution

The fourth proportional to 10,620, 15,933.84 and 3,324 is: 4,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620 : 15,933.84 = 3,324 : x
  2. Step 2: Convert to fraction form
    10,620/15,933.84 = 3,324/x
  3. Step 3: Cross multiply
    10,620x = 15,933.84 × 3,324
  4. Step 4: Simplify right side
    10,620x = 52,964,084.16
  5. Step 5: Solve for x
    x = 52,964,084.16/10,620
  6. Step 6: Final answer
    x = 4,987.20

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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.