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Finding the Fourth Proportional to 2,124.69, 3,187.84 and 969.63

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Solution

The fourth proportional to 2,124.69, 3,187.84 and 969.63 is: 1,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.69 : 3,187.84 = 969.63 : x
  2. Step 2: Convert to fraction form
    2,124.69/3,187.84 = 969.63/x
  3. Step 3: Cross multiply
    2,124.69x = 3,187.84 × 969.63
  4. Step 4: Simplify right side
    2,124.69x = 3,091,025.30
  5. Step 5: Solve for x
    x = 3,091,025.30/2,124.69
  6. Step 6: Final answer
    x = 1,454.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.