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Finding the Fourth Proportional to 9,830.88, 14,739.84 and 3,980.64

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Solution

The fourth proportional to 9,830.88, 14,739.84 and 3,980.64 is: 5,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.88 : 14,739.84 = 3,980.64 : x
  2. Step 2: Convert to fraction form
    9,830.88/14,739.84 = 3,980.64/x
  3. Step 3: Cross multiply
    9,830.88x = 14,739.84 × 3,980.64
  4. Step 4: Simplify right side
    9,830.88x = 58,673,996.70
  5. Step 5: Solve for x
    x = 58,673,996.70/9,830.88
  6. Step 6: Final answer
    x = 5,968.34

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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.