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Finding the Fourth Proportional to 1,969.14, 2,953.35 and 798.86

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Solution

The fourth proportional to 1,969.14, 2,953.35 and 798.86 is: 1,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.14 : 2,953.35 = 798.86 : x
  2. Step 2: Convert to fraction form
    1,969.14/2,953.35 = 798.86/x
  3. Step 3: Cross multiply
    1,969.14x = 2,953.35 × 798.86
  4. Step 4: Simplify right side
    1,969.14x = 2,359,313.18
  5. Step 5: Solve for x
    x = 2,359,313.18/1,969.14
  6. Step 6: Final answer
    x = 1,198.14

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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.