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Finding the Fourth Proportional to 1,908.74, 2,633.90 and 1,069.40

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Solution

The fourth proportional to 1,908.74, 2,633.90 and 1,069.40 is: 1,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.74 : 2,633.90 = 1,069.40 : x
  2. Step 2: Convert to fraction form
    1,908.74/2,633.90 = 1,069.40/x
  3. Step 3: Cross multiply
    1,908.74x = 2,633.90 × 1,069.40
  4. Step 4: Simplify right side
    1,908.74x = 2,816,674.14
  5. Step 5: Solve for x
    x = 2,816,674.14/1,908.74
  6. Step 6: Final answer
    x = 1,475.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.