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Finding the Fourth Proportional to 6,419.82, 9,630.35 and 1,739.89

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Solution

The fourth proportional to 6,419.82, 9,630.35 and 1,739.89 is: 2,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.82 : 9,630.35 = 1,739.89 : x
  2. Step 2: Convert to fraction form
    6,419.82/9,630.35 = 1,739.89/x
  3. Step 3: Cross multiply
    6,419.82x = 9,630.35 × 1,739.89
  4. Step 4: Simplify right side
    6,419.82x = 16,755,729.94
  5. Step 5: Solve for x
    x = 16,755,729.94/6,419.82
  6. Step 6: Final answer
    x = 2,610.00

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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.