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Finding the Fourth Proportional to 20,047.28, 30,052.04 and 6,890.45

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Solution

The fourth proportional to 20,047.28, 30,052.04 and 6,890.45 is: 10,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.28 : 30,052.04 = 6,890.45 : x
  2. Step 2: Convert to fraction form
    20,047.28/30,052.04 = 6,890.45/x
  3. Step 3: Cross multiply
    20,047.28x = 30,052.04 × 6,890.45
  4. Step 4: Simplify right side
    20,047.28x = 207,071,894.31
  5. Step 5: Solve for x
    x = 207,071,894.31/20,047.28
  6. Step 6: Final answer
    x = 10,329.18

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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.