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Finding the Fourth Proportional to 2,124.83, 3,187.15 and 643.99

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Solution

The fourth proportional to 2,124.83, 3,187.15 and 643.99 is: 965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.83 : 3,187.15 = 643.99 : x
  2. Step 2: Convert to fraction form
    2,124.83/3,187.15 = 643.99/x
  3. Step 3: Cross multiply
    2,124.83x = 3,187.15 × 643.99
  4. Step 4: Simplify right side
    2,124.83x = 2,052,488.72
  5. Step 5: Solve for x
    x = 2,052,488.72/2,124.83
  6. Step 6: Final answer
    x = 965.96

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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.