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Finding the Fourth Proportional to 2,906.01, 4,007.64 and 2,161.83

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Solution

The fourth proportional to 2,906.01, 4,007.64 and 2,161.83 is: 2,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.01 : 4,007.64 = 2,161.83 : x
  2. Step 2: Convert to fraction form
    2,906.01/4,007.64 = 2,161.83/x
  3. Step 3: Cross multiply
    2,906.01x = 4,007.64 × 2,161.83
  4. Step 4: Simplify right side
    2,906.01x = 8,663,836.38
  5. Step 5: Solve for x
    x = 8,663,836.38/2,906.01
  6. Step 6: Final answer
    x = 2,981.35

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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.