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Finding the Fourth Proportional to 1,811.95, 2,714.93 and 1,660.63

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Solution

The fourth proportional to 1,811.95, 2,714.93 and 1,660.63 is: 2,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.95 : 2,714.93 = 1,660.63 : x
  2. Step 2: Convert to fraction form
    1,811.95/2,714.93 = 1,660.63/x
  3. Step 3: Cross multiply
    1,811.95x = 2,714.93 × 1,660.63
  4. Step 4: Simplify right side
    1,811.95x = 4,508,494.21
  5. Step 5: Solve for x
    x = 4,508,494.21/1,811.95
  6. Step 6: Final answer
    x = 2,488.20

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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.