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Finding the Fourth Proportional to 2,124.96, 3,186.63 and 643.88

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Solution

The fourth proportional to 2,124.96, 3,186.63 and 643.88 is: 965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.96 : 3,186.63 = 643.88 : x
  2. Step 2: Convert to fraction form
    2,124.96/3,186.63 = 643.88/x
  3. Step 3: Cross multiply
    2,124.96x = 3,186.63 × 643.88
  4. Step 4: Simplify right side
    2,124.96x = 2,051,807.32
  5. Step 5: Solve for x
    x = 2,051,807.32/2,124.96
  6. Step 6: Final answer
    x = 965.57

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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.