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Finding the Fourth Proportional to 1,811.74, 2,703.92 and 1,636.78

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Solution

The fourth proportional to 1,811.74, 2,703.92 and 1,636.78 is: 2,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.74 : 2,703.92 = 1,636.78 : x
  2. Step 2: Convert to fraction form
    1,811.74/2,703.92 = 1,636.78/x
  3. Step 3: Cross multiply
    1,811.74x = 2,703.92 × 1,636.78
  4. Step 4: Simplify right side
    1,811.74x = 4,425,722.18
  5. Step 5: Solve for x
    x = 4,425,722.18/1,811.74
  6. Step 6: Final answer
    x = 2,442.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.