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Finding the Fourth Proportional to 2,104.53, 3,156.36 and 643.33

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Solution

The fourth proportional to 2,104.53, 3,156.36 and 643.33 is: 964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.53 : 3,156.36 = 643.33 : x
  2. Step 2: Convert to fraction form
    2,104.53/3,156.36 = 643.33/x
  3. Step 3: Cross multiply
    2,104.53x = 3,156.36 × 643.33
  4. Step 4: Simplify right side
    2,104.53x = 2,030,581.08
  5. Step 5: Solve for x
    x = 2,030,581.08/2,104.53
  6. Step 6: Final answer
    x = 964.86

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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.