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Finding the Fourth Proportional to 1,909.64, 2,868.30 and 1,668.68

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Solution

The fourth proportional to 1,909.64, 2,868.30 and 1,668.68 is: 2,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.64 : 2,868.30 = 1,668.68 : x
  2. Step 2: Convert to fraction form
    1,909.64/2,868.30 = 1,668.68/x
  3. Step 3: Cross multiply
    1,909.64x = 2,868.30 × 1,668.68
  4. Step 4: Simplify right side
    1,909.64x = 4,786,274.84
  5. Step 5: Solve for x
    x = 4,786,274.84/1,909.64
  6. Step 6: Final answer
    x = 2,506.38

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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.