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Finding the Fourth Proportional to 2,124.33, 3,186.49 and 643.55

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Solution

The fourth proportional to 2,124.33, 3,186.49 and 643.55 is: 965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.33 : 3,186.49 = 643.55 : x
  2. Step 2: Convert to fraction form
    2,124.33/3,186.49 = 643.55/x
  3. Step 3: Cross multiply
    2,124.33x = 3,186.49 × 643.55
  4. Step 4: Simplify right side
    2,124.33x = 2,050,665.64
  5. Step 5: Solve for x
    x = 2,050,665.64/2,124.33
  6. Step 6: Final answer
    x = 965.32

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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.