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Finding the Fourth Proportional to 2,103.81, 3,156.18 and 643.07

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Solution

The fourth proportional to 2,103.81, 3,156.18 and 643.07 is: 964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.81 : 3,156.18 = 643.07 : x
  2. Step 2: Convert to fraction form
    2,103.81/3,156.18 = 643.07/x
  3. Step 3: Cross multiply
    2,103.81x = 3,156.18 × 643.07
  4. Step 4: Simplify right side
    2,103.81x = 2,029,652.56
  5. Step 5: Solve for x
    x = 2,029,652.56/2,103.81
  6. Step 6: Final answer
    x = 964.75

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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.