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Finding the Fourth Proportional to 6,403.98, 9,605.97 and 1,724

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Solution

The fourth proportional to 6,403.98, 9,605.97 and 1,724 is: 2,586

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.98 : 9,605.97 = 1,724 : x
  2. Step 2: Convert to fraction form
    6,403.98/9,605.97 = 1,724/x
  3. Step 3: Cross multiply
    6,403.98x = 9,605.97 × 1,724
  4. Step 4: Simplify right side
    6,403.98x = 16,560,692.28
  5. Step 5: Solve for x
    x = 16,560,692.28/6,403.98
  6. Step 6: Final answer
    x = 2,586

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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.