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Finding the Fourth Proportional to 9,830.12, 14,747.84 and 3,990.80

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Solution

The fourth proportional to 9,830.12, 14,747.84 and 3,990.80 is: 5,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.12 : 14,747.84 = 3,990.80 : x
  2. Step 2: Convert to fraction form
    9,830.12/14,747.84 = 3,990.80/x
  3. Step 3: Cross multiply
    9,830.12x = 14,747.84 × 3,990.80
  4. Step 4: Simplify right side
    9,830.12x = 58,855,679.87
  5. Step 5: Solve for x
    x = 58,855,679.87/9,830.12
  6. Step 6: Final answer
    x = 5,987.28

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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.