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Finding the Fourth Proportional to 2,104.99, 3,157.76 and 643.89

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Solution

The fourth proportional to 2,104.99, 3,157.76 and 643.89 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.99 : 3,157.76 = 643.89 : x
  2. Step 2: Convert to fraction form
    2,104.99/3,157.76 = 643.89/x
  3. Step 3: Cross multiply
    2,104.99x = 3,157.76 × 643.89
  4. Step 4: Simplify right side
    2,104.99x = 2,033,250.09
  5. Step 5: Solve for x
    x = 2,033,250.09/2,104.99
  6. Step 6: Final answer
    x = 965.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.