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Finding the Fourth Proportional to 2,929.92, 4,042.82 and 1,811.22

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Solution

The fourth proportional to 2,929.92, 4,042.82 and 1,811.22 is: 2,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.92 : 4,042.82 = 1,811.22 : x
  2. Step 2: Convert to fraction form
    2,929.92/4,042.82 = 1,811.22/x
  3. Step 3: Cross multiply
    2,929.92x = 4,042.82 × 1,811.22
  4. Step 4: Simplify right side
    2,929.92x = 7,322,427.38
  5. Step 5: Solve for x
    x = 7,322,427.38/2,929.92
  6. Step 6: Final answer
    x = 2,499.19

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1.5x scale

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.